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Finding the Fourth Proportional to 8,531.54, 12,775.86 and 5,402.08

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Solution

The fourth proportional to 8,531.54, 12,775.86 and 5,402.08 is: 8,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.54 : 12,775.86 = 5,402.08 : x
  2. Step 2: Convert to fraction form
    8,531.54/12,775.86 = 5,402.08/x
  3. Step 3: Cross multiply
    8,531.54x = 12,775.86 × 5,402.08
  4. Step 4: Simplify right side
    8,531.54x = 69,016,217.79
  5. Step 5: Solve for x
    x = 69,016,217.79/8,531.54
  6. Step 6: Final answer
    x = 8,089.54

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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.