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Finding the Fourth Proportional to 5,165.87, 7,748.82 and 1,655.82

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Solution

The fourth proportional to 5,165.87, 7,748.82 and 1,655.82 is: 2,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.87 : 7,748.82 = 1,655.82 : x
  2. Step 2: Convert to fraction form
    5,165.87/7,748.82 = 1,655.82/x
  3. Step 3: Cross multiply
    5,165.87x = 7,748.82 × 1,655.82
  4. Step 4: Simplify right side
    5,165.87x = 12,830,651.13
  5. Step 5: Solve for x
    x = 12,830,651.13/5,165.87
  6. Step 6: Final answer
    x = 2,483.74

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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.