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Finding the Fourth Proportional to 5,147.79, 7,721.68 and 1,252.16

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Solution

The fourth proportional to 5,147.79, 7,721.68 and 1,252.16 is: 1,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.79 : 7,721.68 = 1,252.16 : x
  2. Step 2: Convert to fraction form
    5,147.79/7,721.68 = 1,252.16/x
  3. Step 3: Cross multiply
    5,147.79x = 7,721.68 × 1,252.16
  4. Step 4: Simplify right side
    5,147.79x = 9,668,733.96
  5. Step 5: Solve for x
    x = 9,668,733.96/5,147.79
  6. Step 6: Final answer
    x = 1,878.23

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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.