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Finding the Fourth Proportional to 2,471.36, 3,708.90 and 912.86

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Solution

The fourth proportional to 2,471.36, 3,708.90 and 912.86 is: 1,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.36 : 3,708.90 = 912.86 : x
  2. Step 2: Convert to fraction form
    2,471.36/3,708.90 = 912.86/x
  3. Step 3: Cross multiply
    2,471.36x = 3,708.90 × 912.86
  4. Step 4: Simplify right side
    2,471.36x = 3,385,706.45
  5. Step 5: Solve for x
    x = 3,385,706.45/2,471.36
  6. Step 6: Final answer
    x = 1,369.98

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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.