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Finding the Fourth Proportional to 21,812.83, 32,721.04 and 9,332.98

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Solution

The fourth proportional to 21,812.83, 32,721.04 and 9,332.98 is: 14,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.83 : 32,721.04 = 9,332.98 : x
  2. Step 2: Convert to fraction form
    21,812.83/32,721.04 = 9,332.98/x
  3. Step 3: Cross multiply
    21,812.83x = 32,721.04 × 9,332.98
  4. Step 4: Simplify right side
    21,812.83x = 305,384,945.58
  5. Step 5: Solve for x
    x = 305,384,945.58/21,812.83
  6. Step 6: Final answer
    x = 14,000.24

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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.