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Finding the Fourth Proportional to 39,770, 59,655 and 14,809.52

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Solution

The fourth proportional to 39,770, 59,655 and 14,809.52 is: 22,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770 : 59,655 = 14,809.52 : x
  2. Step 2: Convert to fraction form
    39,770/59,655 = 14,809.52/x
  3. Step 3: Cross multiply
    39,770x = 59,655 × 14,809.52
  4. Step 4: Simplify right side
    39,770x = 883,461,915.60
  5. Step 5: Solve for x
    x = 883,461,915.60/39,770
  6. Step 6: Final answer
    x = 22,214.28

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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.