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Finding the Fourth Proportional to 35,689, 53,540.76 and 12,312.40

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Solution

The fourth proportional to 35,689, 53,540.76 and 12,312.40 is: 18,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689 : 53,540.76 = 12,312.40 : x
  2. Step 2: Convert to fraction form
    35,689/53,540.76 = 12,312.40/x
  3. Step 3: Cross multiply
    35,689x = 53,540.76 × 12,312.40
  4. Step 4: Simplify right side
    35,689x = 659,215,253.42
  5. Step 5: Solve for x
    x = 659,215,253.42/35,689
  6. Step 6: Final answer
    x = 18,471.10

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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.