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Finding the Fourth Proportional to 21,294.34, 31,947.27 and 8,147.14

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Solution

The fourth proportional to 21,294.34, 31,947.27 and 8,147.14 is: 12,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.34 : 31,947.27 = 8,147.14 : x
  2. Step 2: Convert to fraction form
    21,294.34/31,947.27 = 8,147.14/x
  3. Step 3: Cross multiply
    21,294.34x = 31,947.27 × 8,147.14
  4. Step 4: Simplify right side
    21,294.34x = 260,278,881.31
  5. Step 5: Solve for x
    x = 260,278,881.31/21,294.34
  6. Step 6: Final answer
    x = 12,222.91

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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.