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Finding the Fourth Proportional to 5,147.71, 7,098.64 and 4,200.46

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Solution

The fourth proportional to 5,147.71, 7,098.64 and 4,200.46 is: 5,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.71 : 7,098.64 = 4,200.46 : x
  2. Step 2: Convert to fraction form
    5,147.71/7,098.64 = 4,200.46/x
  3. Step 3: Cross multiply
    5,147.71x = 7,098.64 × 4,200.46
  4. Step 4: Simplify right side
    5,147.71x = 29,817,525.13
  5. Step 5: Solve for x
    x = 29,817,525.13/5,147.71
  6. Step 6: Final answer
    x = 5,792.39

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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.