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Finding the Fourth Proportional to 30,512.80, 45,766.32 and 15,713.92

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Solution

The fourth proportional to 30,512.80, 45,766.32 and 15,713.92 is: 23,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.80 : 45,766.32 = 15,713.92 : x
  2. Step 2: Convert to fraction form
    30,512.80/45,766.32 = 15,713.92/x
  3. Step 3: Cross multiply
    30,512.80x = 45,766.32 × 15,713.92
  4. Step 4: Simplify right side
    30,512.80x = 719,168,291.17
  5. Step 5: Solve for x
    x = 719,168,291.17/30,512.80
  6. Step 6: Final answer
    x = 23,569.40

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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.