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Finding the Fourth Proportional to 2,824.76, 3,897.90 and 2,236.76

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Solution

The fourth proportional to 2,824.76, 3,897.90 and 2,236.76 is: 3,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.76 : 3,897.90 = 2,236.76 : x
  2. Step 2: Convert to fraction form
    2,824.76/3,897.90 = 2,236.76/x
  3. Step 3: Cross multiply
    2,824.76x = 3,897.90 × 2,236.76
  4. Step 4: Simplify right side
    2,824.76x = 8,718,666.80
  5. Step 5: Solve for x
    x = 8,718,666.80/2,824.76
  6. Step 6: Final answer
    x = 3,086.52

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Half scale
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Double scale
Find fourth proportional to 2,825.76, 3,899.28 and 2,237.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.