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Finding the Fourth Proportional to 5,170.64, 7,130.04 and 3,677

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Solution

The fourth proportional to 5,170.64, 7,130.04 and 3,677 is: 5,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.64 : 7,130.04 = 3,677 : x
  2. Step 2: Convert to fraction form
    5,170.64/7,130.04 = 3,677/x
  3. Step 3: Cross multiply
    5,170.64x = 7,130.04 × 3,677
  4. Step 4: Simplify right side
    5,170.64x = 26,217,157.08
  5. Step 5: Solve for x
    x = 26,217,157.08/5,170.64
  6. Step 6: Final answer
    x = 5,070.39

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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.