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Finding the Fourth Proportional to 21,572.63, 32,312.20 and 10,456.06

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Solution

The fourth proportional to 21,572.63, 32,312.20 and 10,456.06 is: 15,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.63 : 32,312.20 = 10,456.06 : x
  2. Step 2: Convert to fraction form
    21,572.63/32,312.20 = 10,456.06/x
  3. Step 3: Cross multiply
    21,572.63x = 32,312.20 × 10,456.06
  4. Step 4: Simplify right side
    21,572.63x = 337,858,195.01
  5. Step 5: Solve for x
    x = 337,858,195.01/21,572.63
  6. Step 6: Final answer
    x = 15,661.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.