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Finding the Fourth Proportional to 14,891.93, 20,551.14 and 8,178.24

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Solution

The fourth proportional to 14,891.93, 20,551.14 and 8,178.24 is: 11,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.93 : 20,551.14 = 8,178.24 : x
  2. Step 2: Convert to fraction form
    14,891.93/20,551.14 = 8,178.24/x
  3. Step 3: Cross multiply
    14,891.93x = 20,551.14 × 8,178.24
  4. Step 4: Simplify right side
    14,891.93x = 168,072,155.19
  5. Step 5: Solve for x
    x = 168,072,155.19/14,891.93
  6. Step 6: Final answer
    x = 11,286.12

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Double scale
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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.