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Finding the Fourth Proportional to 20,689.00, 31,009.19 and 9,572.21

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Solution

The fourth proportional to 20,689.00, 31,009.19 and 9,572.21 is: 14,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.00 : 31,009.19 = 9,572.21 : x
  2. Step 2: Convert to fraction form
    20,689.00/31,009.19 = 9,572.21/x
  3. Step 3: Cross multiply
    20,689.00x = 31,009.19 × 9,572.21
  4. Step 4: Simplify right side
    20,689.00x = 296,826,275.70
  5. Step 5: Solve for x
    x = 296,826,275.70/20,689.00
  6. Step 6: Final answer
    x = 14,347.06

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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.