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Finding the Fourth Proportional to 3,915.74, 5,874.16 and 1,319.42

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Solution

The fourth proportional to 3,915.74, 5,874.16 and 1,319.42 is: 1,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.74 : 5,874.16 = 1,319.42 : x
  2. Step 2: Convert to fraction form
    3,915.74/5,874.16 = 1,319.42/x
  3. Step 3: Cross multiply
    3,915.74x = 5,874.16 × 1,319.42
  4. Step 4: Simplify right side
    3,915.74x = 7,750,484.19
  5. Step 5: Solve for x
    x = 7,750,484.19/3,915.74
  6. Step 6: Final answer
    x = 1,979.32

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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.