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Finding the Fourth Proportional to 13,815.17, 20,722.87 and 8,565.46

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Solution

The fourth proportional to 13,815.17, 20,722.87 and 8,565.46 is: 12,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.17 : 20,722.87 = 8,565.46 : x
  2. Step 2: Convert to fraction form
    13,815.17/20,722.87 = 8,565.46/x
  3. Step 3: Cross multiply
    13,815.17x = 20,722.87 × 8,565.46
  4. Step 4: Simplify right side
    13,815.17x = 177,500,914.07
  5. Step 5: Solve for x
    x = 177,500,914.07/13,815.17
  6. Step 6: Final answer
    x = 12,848.26

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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.