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Finding the Fourth Proportional to 5,508, 7,607.52 and 3,641.76

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Solution

The fourth proportional to 5,508, 7,607.52 and 3,641.76 is: 5,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508 : 7,607.52 = 3,641.76 : x
  2. Step 2: Convert to fraction form
    5,508/7,607.52 = 3,641.76/x
  3. Step 3: Cross multiply
    5,508x = 7,607.52 × 3,641.76
  4. Step 4: Simplify right side
    5,508x = 27,704,762.04
  5. Step 5: Solve for x
    x = 27,704,762.04/5,508
  6. Step 6: Final answer
    x = 5,029.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.