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Finding the Fourth Proportional to 35,691, 53,543.76 and 12,314.40

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Solution

The fourth proportional to 35,691, 53,543.76 and 12,314.40 is: 18,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,691 : 53,543.76 = 12,314.40 : x
  2. Step 2: Convert to fraction form
    35,691/53,543.76 = 12,314.40/x
  3. Step 3: Cross multiply
    35,691x = 53,543.76 × 12,314.40
  4. Step 4: Simplify right side
    35,691x = 659,359,278.14
  5. Step 5: Solve for x
    x = 659,359,278.14/35,691
  6. Step 6: Final answer
    x = 18,474.10

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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.