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Finding the Fourth Proportional to 21,294.55, 31,948.88 and 9,446.70

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Solution

The fourth proportional to 21,294.55, 31,948.88 and 9,446.70 is: 14,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.55 : 31,948.88 = 9,446.70 : x
  2. Step 2: Convert to fraction form
    21,294.55/31,948.88 = 9,446.70/x
  3. Step 3: Cross multiply
    21,294.55x = 31,948.88 × 9,446.70
  4. Step 4: Simplify right side
    21,294.55x = 301,811,520.55
  5. Step 5: Solve for x
    x = 301,811,520.55/21,294.55
  6. Step 6: Final answer
    x = 14,173.18

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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.