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Finding the Fourth Proportional to 19,801.50, 29,665.17 and 9,929.22

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Solution

The fourth proportional to 19,801.50, 29,665.17 and 9,929.22 is: 14,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.50 : 29,665.17 = 9,929.22 : x
  2. Step 2: Convert to fraction form
    19,801.50/29,665.17 = 9,929.22/x
  3. Step 3: Cross multiply
    19,801.50x = 29,665.17 × 9,929.22
  4. Step 4: Simplify right side
    19,801.50x = 294,551,999.27
  5. Step 5: Solve for x
    x = 294,551,999.27/19,801.50
  6. Step 6: Final answer
    x = 14,875.24

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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.