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Finding the Fourth Proportional to 10,000.12, 13,806.06 and 6,860.92

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Solution

The fourth proportional to 10,000.12, 13,806.06 and 6,860.92 is: 9,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.12 : 13,806.06 = 6,860.92 : x
  2. Step 2: Convert to fraction form
    10,000.12/13,806.06 = 6,860.92/x
  3. Step 3: Cross multiply
    10,000.12x = 13,806.06 × 6,860.92
  4. Step 4: Simplify right side
    10,000.12x = 94,722,273.18
  5. Step 5: Solve for x
    x = 94,722,273.18/10,000.12
  6. Step 6: Final answer
    x = 9,472.11

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1.5x scale

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.