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Finding the Fourth Proportional to 15,142.82, 20,895.72 and 8,428.82

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Solution

The fourth proportional to 15,142.82, 20,895.72 and 8,428.82 is: 11,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.82 : 20,895.72 = 8,428.82 : x
  2. Step 2: Convert to fraction form
    15,142.82/20,895.72 = 8,428.82/x
  3. Step 3: Cross multiply
    15,142.82x = 20,895.72 × 8,428.82
  4. Step 4: Simplify right side
    15,142.82x = 176,126,262.65
  5. Step 5: Solve for x
    x = 176,126,262.65/15,142.82
  6. Step 6: Final answer
    x = 11,631.01

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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.