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Finding the Fourth Proportional to 10,003.62, 13,863.44 and 9,862.68

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Solution

The fourth proportional to 10,003.62, 13,863.44 and 9,862.68 is: 13,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.62 : 13,863.44 = 9,862.68 : x
  2. Step 2: Convert to fraction form
    10,003.62/13,863.44 = 9,862.68/x
  3. Step 3: Cross multiply
    10,003.62x = 13,863.44 × 9,862.68
  4. Step 4: Simplify right side
    10,003.62x = 136,730,623.11
  5. Step 5: Solve for x
    x = 136,730,623.11/10,003.62
  6. Step 6: Final answer
    x = 13,668.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.