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Finding the Fourth Proportional to 21,332.16, 31,998 and 9,637.20

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Solution

The fourth proportional to 21,332.16, 31,998 and 9,637.20 is: 14,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.16 : 31,998 = 9,637.20 : x
  2. Step 2: Convert to fraction form
    21,332.16/31,998 = 9,637.20/x
  3. Step 3: Cross multiply
    21,332.16x = 31,998 × 9,637.20
  4. Step 4: Simplify right side
    21,332.16x = 308,371,125.60
  5. Step 5: Solve for x
    x = 308,371,125.60/21,332.16
  6. Step 6: Final answer
    x = 14,455.69

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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.