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Finding the Fourth Proportional to 1,915.99, 2,874.17 and 746.08

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Solution

The fourth proportional to 1,915.99, 2,874.17 and 746.08 is: 1,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.99 : 2,874.17 = 746.08 : x
  2. Step 2: Convert to fraction form
    1,915.99/2,874.17 = 746.08/x
  3. Step 3: Cross multiply
    1,915.99x = 2,874.17 × 746.08
  4. Step 4: Simplify right side
    1,915.99x = 2,144,360.75
  5. Step 5: Solve for x
    x = 2,144,360.75/1,915.99
  6. Step 6: Final answer
    x = 1,119.19

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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.