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Finding the Fourth Proportional to 5,915.64, 8,871.30 and 2,019

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Solution

The fourth proportional to 5,915.64, 8,871.30 and 2,019 is: 3,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.64 : 8,871.30 = 2,019 : x
  2. Step 2: Convert to fraction form
    5,915.64/8,871.30 = 2,019/x
  3. Step 3: Cross multiply
    5,915.64x = 8,871.30 × 2,019
  4. Step 4: Simplify right side
    5,915.64x = 17,911,154.70
  5. Step 5: Solve for x
    x = 17,911,154.70/5,915.64
  6. Step 6: Final answer
    x = 3,027.76

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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.