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Finding the Fourth Proportional to 1,915.94, 2,871.12 and 818.75

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Solution

The fourth proportional to 1,915.94, 2,871.12 and 818.75 is: 1,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.94 : 2,871.12 = 818.75 : x
  2. Step 2: Convert to fraction form
    1,915.94/2,871.12 = 818.75/x
  3. Step 3: Cross multiply
    1,915.94x = 2,871.12 × 818.75
  4. Step 4: Simplify right side
    1,915.94x = 2,350,729.50
  5. Step 5: Solve for x
    x = 2,350,729.50/1,915.94
  6. Step 6: Final answer
    x = 1,226.93

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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.