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Finding the Fourth Proportional to 7,148.87, 10,724.24 and 2,645.31

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Solution

The fourth proportional to 7,148.87, 10,724.24 and 2,645.31 is: 3,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.87 : 10,724.24 = 2,645.31 : x
  2. Step 2: Convert to fraction form
    7,148.87/10,724.24 = 2,645.31/x
  3. Step 3: Cross multiply
    7,148.87x = 10,724.24 × 2,645.31
  4. Step 4: Simplify right side
    7,148.87x = 28,368,966.26
  5. Step 5: Solve for x
    x = 28,368,966.26/7,148.87
  6. Step 6: Final answer
    x = 3,968.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.