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Finding the Fourth Proportional to 5,102.87, 7,615.52 and 4,971.65

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Solution

The fourth proportional to 5,102.87, 7,615.52 and 4,971.65 is: 7,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.87 : 7,615.52 = 4,971.65 : x
  2. Step 2: Convert to fraction form
    5,102.87/7,615.52 = 4,971.65/x
  3. Step 3: Cross multiply
    5,102.87x = 7,615.52 × 4,971.65
  4. Step 4: Simplify right side
    5,102.87x = 37,861,655.72
  5. Step 5: Solve for x
    x = 37,861,655.72/5,102.87
  6. Step 6: Final answer
    x = 7,419.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.