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Finding the Fourth Proportional to 10,574.92, 15,859.42 and 3,178.76

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Solution

The fourth proportional to 10,574.92, 15,859.42 and 3,178.76 is: 4,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.92 : 15,859.42 = 3,178.76 : x
  2. Step 2: Convert to fraction form
    10,574.92/15,859.42 = 3,178.76/x
  3. Step 3: Cross multiply
    10,574.92x = 15,859.42 × 3,178.76
  4. Step 4: Simplify right side
    10,574.92x = 50,413,289.92
  5. Step 5: Solve for x
    x = 50,413,289.92/10,574.92
  6. Step 6: Final answer
    x = 4,767.25

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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.