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Finding the Fourth Proportional to 3,915.84, 5,874.24 and 1,283.76

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Solution

The fourth proportional to 3,915.84, 5,874.24 and 1,283.76 is: 1,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.84 : 5,874.24 = 1,283.76 : x
  2. Step 2: Convert to fraction form
    3,915.84/5,874.24 = 1,283.76/x
  3. Step 3: Cross multiply
    3,915.84x = 5,874.24 × 1,283.76
  4. Step 4: Simplify right side
    3,915.84x = 7,541,114.34
  5. Step 5: Solve for x
    x = 7,541,114.34/3,915.84
  6. Step 6: Final answer
    x = 1,925.80

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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.