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Finding the Fourth Proportional to 5,157, 7,116.56 and 2,919.30

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Solution

The fourth proportional to 5,157, 7,116.56 and 2,919.30 is: 4,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157 : 7,116.56 = 2,919.30 : x
  2. Step 2: Convert to fraction form
    5,157/7,116.56 = 2,919.30/x
  3. Step 3: Cross multiply
    5,157x = 7,116.56 × 2,919.30
  4. Step 4: Simplify right side
    5,157x = 20,775,373.61
  5. Step 5: Solve for x
    x = 20,775,373.61/5,157
  6. Step 6: Final answer
    x = 4,028.58

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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.