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Finding the Fourth Proportional to 21,720.80, 32,583 and 6,931.82

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Solution

The fourth proportional to 21,720.80, 32,583 and 6,931.82 is: 10,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720.80 : 32,583 = 6,931.82 : x
  2. Step 2: Convert to fraction form
    21,720.80/32,583 = 6,931.82/x
  3. Step 3: Cross multiply
    21,720.80x = 32,583 × 6,931.82
  4. Step 4: Simplify right side
    21,720.80x = 225,859,491.06
  5. Step 5: Solve for x
    x = 225,859,491.06/21,720.80
  6. Step 6: Final answer
    x = 10,398.30

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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.