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Finding the Fourth Proportional to 3,130.76, 4,696.14 and 2,266.76

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Solution

The fourth proportional to 3,130.76, 4,696.14 and 2,266.76 is: 3,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.76 : 4,696.14 = 2,266.76 : x
  2. Step 2: Convert to fraction form
    3,130.76/4,696.14 = 2,266.76/x
  3. Step 3: Cross multiply
    3,130.76x = 4,696.14 × 2,266.76
  4. Step 4: Simplify right side
    3,130.76x = 10,645,022.31
  5. Step 5: Solve for x
    x = 10,645,022.31/3,130.76
  6. Step 6: Final answer
    x = 3,400.14

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.