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Finding the Fourth Proportional to 13,900.88, 20,842.12 and 7,663.92

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Solution

The fourth proportional to 13,900.88, 20,842.12 and 7,663.92 is: 11,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.88 : 20,842.12 = 7,663.92 : x
  2. Step 2: Convert to fraction form
    13,900.88/20,842.12 = 7,663.92/x
  3. Step 3: Cross multiply
    13,900.88x = 20,842.12 × 7,663.92
  4. Step 4: Simplify right side
    13,900.88x = 159,732,340.31
  5. Step 5: Solve for x
    x = 159,732,340.31/13,900.88
  6. Step 6: Final answer
    x = 11,490.81

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1.5x scale

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.