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Finding the Fourth Proportional to 15,166, 22,740.68 and 8,154.32

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Solution

The fourth proportional to 15,166, 22,740.68 and 8,154.32 is: 12,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166 : 22,740.68 = 8,154.32 : x
  2. Step 2: Convert to fraction form
    15,166/22,740.68 = 8,154.32/x
  3. Step 3: Cross multiply
    15,166x = 22,740.68 × 8,154.32
  4. Step 4: Simplify right side
    15,166x = 185,434,781.74
  5. Step 5: Solve for x
    x = 185,434,781.74/15,166
  6. Step 6: Final answer
    x = 12,227.01

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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.