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Finding the Fourth Proportional to 4,761.78, 7,102.40 and 4,487.38

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Solution

The fourth proportional to 4,761.78, 7,102.40 and 4,487.38 is: 6,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.78 : 7,102.40 = 4,487.38 : x
  2. Step 2: Convert to fraction form
    4,761.78/7,102.40 = 4,487.38/x
  3. Step 3: Cross multiply
    4,761.78x = 7,102.40 × 4,487.38
  4. Step 4: Simplify right side
    4,761.78x = 31,871,167.71
  5. Step 5: Solve for x
    x = 31,871,167.71/4,761.78
  6. Step 6: Final answer
    x = 6,693.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.