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Finding the Fourth Proportional to 31,547.80, 47,256.90 and 15,974.20

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Solution

The fourth proportional to 31,547.80, 47,256.90 and 15,974.20 is: 23,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.80 : 47,256.90 = 15,974.20 : x
  2. Step 2: Convert to fraction form
    31,547.80/47,256.90 = 15,974.20/x
  3. Step 3: Cross multiply
    31,547.80x = 47,256.90 × 15,974.20
  4. Step 4: Simplify right side
    31,547.80x = 754,891,171.98
  5. Step 5: Solve for x
    x = 754,891,171.98/31,547.80
  6. Step 6: Final answer
    x = 23,928.49

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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.