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Finding the Fourth Proportional to 5,165.59, 7,747.72 and 1,655.30

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Solution

The fourth proportional to 5,165.59, 7,747.72 and 1,655.30 is: 2,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.59 : 7,747.72 = 1,655.30 : x
  2. Step 2: Convert to fraction form
    5,165.59/7,747.72 = 1,655.30/x
  3. Step 3: Cross multiply
    5,165.59x = 7,747.72 × 1,655.30
  4. Step 4: Simplify right side
    5,165.59x = 12,824,800.92
  5. Step 5: Solve for x
    x = 12,824,800.92/5,165.59
  6. Step 6: Final answer
    x = 2,482.74

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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.