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Finding the Fourth Proportional to 5,165.14, 7,748.63 and 1,877.96

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Solution

The fourth proportional to 5,165.14, 7,748.63 and 1,877.96 is: 2,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.14 : 7,748.63 = 1,877.96 : x
  2. Step 2: Convert to fraction form
    5,165.14/7,748.63 = 1,877.96/x
  3. Step 3: Cross multiply
    5,165.14x = 7,748.63 × 1,877.96
  4. Step 4: Simplify right side
    5,165.14x = 14,551,617.19
  5. Step 5: Solve for x
    x = 14,551,617.19/5,165.14
  6. Step 6: Final answer
    x = 2,817.27

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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.