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Finding the Fourth Proportional to 5,770.52, 8,655.76 and 1,387.96

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Solution

The fourth proportional to 5,770.52, 8,655.76 and 1,387.96 is: 2,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.52 : 8,655.76 = 1,387.96 : x
  2. Step 2: Convert to fraction form
    5,770.52/8,655.76 = 1,387.96/x
  3. Step 3: Cross multiply
    5,770.52x = 8,655.76 × 1,387.96
  4. Step 4: Simplify right side
    5,770.52x = 12,013,848.65
  5. Step 5: Solve for x
    x = 12,013,848.65/5,770.52
  6. Step 6: Final answer
    x = 2,081.94

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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.