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Finding the Fourth Proportional to 15,178.16, 20,945.76 and 8,463.87

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Solution

The fourth proportional to 15,178.16, 20,945.76 and 8,463.87 is: 11,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.16 : 20,945.76 = 8,463.87 : x
  2. Step 2: Convert to fraction form
    15,178.16/20,945.76 = 8,463.87/x
  3. Step 3: Cross multiply
    15,178.16x = 20,945.76 × 8,463.87
  4. Step 4: Simplify right side
    15,178.16x = 177,282,189.69
  5. Step 5: Solve for x
    x = 177,282,189.69/15,178.16
  6. Step 6: Final answer
    x = 11,680.08

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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.