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Finding the Fourth Proportional to 5,249.65, 7,875.91 and 1,551.88

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Solution

The fourth proportional to 5,249.65, 7,875.91 and 1,551.88 is: 2,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.65 : 7,875.91 = 1,551.88 : x
  2. Step 2: Convert to fraction form
    5,249.65/7,875.91 = 1,551.88/x
  3. Step 3: Cross multiply
    5,249.65x = 7,875.91 × 1,551.88
  4. Step 4: Simplify right side
    5,249.65x = 12,222,456.84
  5. Step 5: Solve for x
    x = 12,222,456.84/5,249.65
  6. Step 6: Final answer
    x = 2,328.24

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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.