Home / 13,905-20,864.85-7,584.44

Finding the Fourth Proportional to 13,905, 20,864.85 and 7,584.44

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Solution

The fourth proportional to 13,905, 20,864.85 and 7,584.44 is: 11,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905 : 20,864.85 = 7,584.44 : x
  2. Step 2: Convert to fraction form
    13,905/20,864.85 = 7,584.44/x
  3. Step 3: Cross multiply
    13,905x = 20,864.85 × 7,584.44
  4. Step 4: Simplify right side
    13,905x = 158,248,098.61
  5. Step 5: Solve for x
    x = 158,248,098.61/13,905
  6. Step 6: Final answer
    x = 11,380.66

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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.