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Finding the Fourth Proportional to 3,842.88, 5,302.80 and 2,270.76

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Solution

The fourth proportional to 3,842.88, 5,302.80 and 2,270.76 is: 3,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.88 : 5,302.80 = 2,270.76 : x
  2. Step 2: Convert to fraction form
    3,842.88/5,302.80 = 2,270.76/x
  3. Step 3: Cross multiply
    3,842.88x = 5,302.80 × 2,270.76
  4. Step 4: Simplify right side
    3,842.88x = 12,041,386.13
  5. Step 5: Solve for x
    x = 12,041,386.13/3,842.88
  6. Step 6: Final answer
    x = 3,133.43

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Half scale
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Double scale
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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.