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Finding the Fourth Proportional to 31,654.40, 47,464.07 and 12,947.57

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Solution

The fourth proportional to 31,654.40, 47,464.07 and 12,947.57 is: 19,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,654.40 : 47,464.07 = 12,947.57 : x
  2. Step 2: Convert to fraction form
    31,654.40/47,464.07 = 12,947.57/x
  3. Step 3: Cross multiply
    31,654.40x = 47,464.07 × 12,947.57
  4. Step 4: Simplify right side
    31,654.40x = 614,544,368.81
  5. Step 5: Solve for x
    x = 614,544,368.81/31,654.40
  6. Step 6: Final answer
    x = 19,414.18

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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.