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Finding the Fourth Proportional to 21,281.93, 31,927.95 and 6,489.90

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Solution

The fourth proportional to 21,281.93, 31,927.95 and 6,489.90 is: 9,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281.93 : 31,927.95 = 6,489.90 : x
  2. Step 2: Convert to fraction form
    21,281.93/31,927.95 = 6,489.90/x
  3. Step 3: Cross multiply
    21,281.93x = 31,927.95 × 6,489.90
  4. Step 4: Simplify right side
    21,281.93x = 207,209,202.71
  5. Step 5: Solve for x
    x = 207,209,202.71/21,281.93
  6. Step 6: Final answer
    x = 9,736.39

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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.