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Finding the Fourth Proportional to 7,157.70, 9,877.64 and 4,013.90

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Solution

The fourth proportional to 7,157.70, 9,877.64 and 4,013.90 is: 5,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.70 : 9,877.64 = 4,013.90 : x
  2. Step 2: Convert to fraction form
    7,157.70/9,877.64 = 4,013.90/x
  3. Step 3: Cross multiply
    7,157.70x = 9,877.64 × 4,013.90
  4. Step 4: Simplify right side
    7,157.70x = 39,647,859.20
  5. Step 5: Solve for x
    x = 39,647,859.20/7,157.70
  6. Step 6: Final answer
    x = 5,539.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.