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Finding the Fourth Proportional to 5,811.46, 8,718.42 and 1,915.78

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Solution

The fourth proportional to 5,811.46, 8,718.42 and 1,915.78 is: 2,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.46 : 8,718.42 = 1,915.78 : x
  2. Step 2: Convert to fraction form
    5,811.46/8,718.42 = 1,915.78/x
  3. Step 3: Cross multiply
    5,811.46x = 8,718.42 × 1,915.78
  4. Step 4: Simplify right side
    5,811.46x = 16,702,574.67
  5. Step 5: Solve for x
    x = 16,702,574.67/5,811.46
  6. Step 6: Final answer
    x = 2,874.08

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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.