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Finding the Fourth Proportional to 10,342.77, 15,511.39 and 4,498

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Solution

The fourth proportional to 10,342.77, 15,511.39 and 4,498 is: 6,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.77 : 15,511.39 = 4,498 : x
  2. Step 2: Convert to fraction form
    10,342.77/15,511.39 = 4,498/x
  3. Step 3: Cross multiply
    10,342.77x = 15,511.39 × 4,498
  4. Step 4: Simplify right side
    10,342.77x = 69,770,232.22
  5. Step 5: Solve for x
    x = 69,770,232.22/10,342.77
  6. Step 6: Final answer
    x = 6,745.80

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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.