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Finding the Fourth Proportional to 5,148.72, 7,723.01 and 1,253.16

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Solution

The fourth proportional to 5,148.72, 7,723.01 and 1,253.16 is: 1,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.72 : 7,723.01 = 1,253.16 : x
  2. Step 2: Convert to fraction form
    5,148.72/7,723.01 = 1,253.16/x
  3. Step 3: Cross multiply
    5,148.72x = 7,723.01 × 1,253.16
  4. Step 4: Simplify right side
    5,148.72x = 9,678,170.34
  5. Step 5: Solve for x
    x = 9,678,170.34/5,148.72
  6. Step 6: Final answer
    x = 1,879.72

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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.