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Finding the Fourth Proportional to 21,280.68, 31,920.44 and 6,489

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Solution

The fourth proportional to 21,280.68, 31,920.44 and 6,489 is: 9,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,280.68 : 31,920.44 = 6,489 : x
  2. Step 2: Convert to fraction form
    21,280.68/31,920.44 = 6,489/x
  3. Step 3: Cross multiply
    21,280.68x = 31,920.44 × 6,489
  4. Step 4: Simplify right side
    21,280.68x = 207,131,702.72
  5. Step 5: Solve for x
    x = 207,131,702.72/21,280.68
  6. Step 6: Final answer
    x = 9,733.32

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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.