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Finding the Fourth Proportional to 10,000.98, 15,002 and 2,605.46

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Solution

The fourth proportional to 10,000.98, 15,002 and 2,605.46 is: 3,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.98 : 15,002 = 2,605.46 : x
  2. Step 2: Convert to fraction form
    10,000.98/15,002 = 2,605.46/x
  3. Step 3: Cross multiply
    10,000.98x = 15,002 × 2,605.46
  4. Step 4: Simplify right side
    10,000.98x = 39,087,110.92
  5. Step 5: Solve for x
    x = 39,087,110.92/10,000.98
  6. Step 6: Final answer
    x = 3,908.33

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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.