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Finding the Fourth Proportional to 39,280, 58,920 and 11,577.28

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Solution

The fourth proportional to 39,280, 58,920 and 11,577.28 is: 17,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,280 : 58,920 = 11,577.28 : x
  2. Step 2: Convert to fraction form
    39,280/58,920 = 11,577.28/x
  3. Step 3: Cross multiply
    39,280x = 58,920 × 11,577.28
  4. Step 4: Simplify right side
    39,280x = 682,133,337.60
  5. Step 5: Solve for x
    x = 682,133,337.60/39,280
  6. Step 6: Final answer
    x = 17,365.92

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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.