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Finding the Fourth Proportional to 14,651.00, 20,217.19 and 8,278.15

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Solution

The fourth proportional to 14,651.00, 20,217.19 and 8,278.15 is: 11,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.00 : 20,217.19 = 8,278.15 : x
  2. Step 2: Convert to fraction form
    14,651.00/20,217.19 = 8,278.15/x
  3. Step 3: Cross multiply
    14,651.00x = 20,217.19 × 8,278.15
  4. Step 4: Simplify right side
    14,651.00x = 167,360,860.16
  5. Step 5: Solve for x
    x = 167,360,860.16/14,651.00
  6. Step 6: Final answer
    x = 11,423.17

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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.