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Finding the Fourth Proportional to 13,706.10, 18,905.45 and 9,678.83

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Solution

The fourth proportional to 13,706.10, 18,905.45 and 9,678.83 is: 13,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.10 : 18,905.45 = 9,678.83 : x
  2. Step 2: Convert to fraction form
    13,706.10/18,905.45 = 9,678.83/x
  3. Step 3: Cross multiply
    13,706.10x = 18,905.45 × 9,678.83
  4. Step 4: Simplify right side
    13,706.10x = 182,982,493.70
  5. Step 5: Solve for x
    x = 182,982,493.70/13,706.10
  6. Step 6: Final answer
    x = 13,350.44

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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.