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Finding the Fourth Proportional to 3,488, 5,232.77 and 1,147.91

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Solution

The fourth proportional to 3,488, 5,232.77 and 1,147.91 is: 1,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488 : 5,232.77 = 1,147.91 : x
  2. Step 2: Convert to fraction form
    3,488/5,232.77 = 1,147.91/x
  3. Step 3: Cross multiply
    3,488x = 5,232.77 × 1,147.91
  4. Step 4: Simplify right side
    3,488x = 6,006,749.01
  5. Step 5: Solve for x
    x = 6,006,749.01/3,488
  6. Step 6: Final answer
    x = 1,722.12

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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.