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Finding the Fourth Proportional to 5,176.52, 7,764.01 and 1,666.06

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Solution

The fourth proportional to 5,176.52, 7,764.01 and 1,666.06 is: 2,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.52 : 7,764.01 = 1,666.06 : x
  2. Step 2: Convert to fraction form
    5,176.52/7,764.01 = 1,666.06/x
  3. Step 3: Cross multiply
    5,176.52x = 7,764.01 × 1,666.06
  4. Step 4: Simplify right side
    5,176.52x = 12,935,335.17
  5. Step 5: Solve for x
    x = 12,935,335.17/5,176.52
  6. Step 6: Final answer
    x = 2,498.85

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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.