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Finding the Fourth Proportional to 31,695.50, 47,502.05 and 12,954.13

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Solution

The fourth proportional to 31,695.50, 47,502.05 and 12,954.13 is: 19,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695.50 : 47,502.05 = 12,954.13 : x
  2. Step 2: Convert to fraction form
    31,695.50/47,502.05 = 12,954.13/x
  3. Step 3: Cross multiply
    31,695.50x = 47,502.05 × 12,954.13
  4. Step 4: Simplify right side
    31,695.50x = 615,347,547.44
  5. Step 5: Solve for x
    x = 615,347,547.44/31,695.50
  6. Step 6: Final answer
    x = 19,414.35

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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.