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Finding the Fourth Proportional to 5,165.86, 7,748.59 and 1,655.78

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Solution

The fourth proportional to 5,165.86, 7,748.59 and 1,655.78 is: 2,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.86 : 7,748.59 = 1,655.78 : x
  2. Step 2: Convert to fraction form
    5,165.86/7,748.59 = 1,655.78/x
  3. Step 3: Cross multiply
    5,165.86x = 7,748.59 × 1,655.78
  4. Step 4: Simplify right side
    5,165.86x = 12,829,960.35
  5. Step 5: Solve for x
    x = 12,829,960.35/5,165.86
  6. Step 6: Final answer
    x = 2,483.61

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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.