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Finding the Fourth Proportional to 10,603.98, 15,911.24 and 7,503.91

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Solution

The fourth proportional to 10,603.98, 15,911.24 and 7,503.91 is: 11,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.98 : 15,911.24 = 7,503.91 : x
  2. Step 2: Convert to fraction form
    10,603.98/15,911.24 = 7,503.91/x
  3. Step 3: Cross multiply
    10,603.98x = 15,911.24 × 7,503.91
  4. Step 4: Simplify right side
    10,603.98x = 119,396,435.65
  5. Step 5: Solve for x
    x = 119,396,435.65/10,603.98
  6. Step 6: Final answer
    x = 11,259.59

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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.