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Finding the Fourth Proportional to 21,241.76, 31,863.88 and 6,451.16

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Solution

The fourth proportional to 21,241.76, 31,863.88 and 6,451.16 is: 9,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.76 : 31,863.88 = 6,451.16 : x
  2. Step 2: Convert to fraction form
    21,241.76/31,863.88 = 6,451.16/x
  3. Step 3: Cross multiply
    21,241.76x = 31,863.88 × 6,451.16
  4. Step 4: Simplify right side
    21,241.76x = 205,558,988.10
  5. Step 5: Solve for x
    x = 205,558,988.10/21,241.76
  6. Step 6: Final answer
    x = 9,677.12

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1.5x scale

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.