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Finding the Fourth Proportional to 13,534.12, 18,677 and 7,565.78

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Solution

The fourth proportional to 13,534.12, 18,677 and 7,565.78 is: 10,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.12 : 18,677 = 7,565.78 : x
  2. Step 2: Convert to fraction form
    13,534.12/18,677 = 7,565.78/x
  3. Step 3: Cross multiply
    13,534.12x = 18,677 × 7,565.78
  4. Step 4: Simplify right side
    13,534.12x = 141,306,073.06
  5. Step 5: Solve for x
    x = 141,306,073.06/13,534.12
  6. Step 6: Final answer
    x = 10,440.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.