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Finding the Fourth Proportional to 2,719.52, 4,078.28 and 940.13

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Solution

The fourth proportional to 2,719.52, 4,078.28 and 940.13 is: 1,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.52 : 4,078.28 = 940.13 : x
  2. Step 2: Convert to fraction form
    2,719.52/4,078.28 = 940.13/x
  3. Step 3: Cross multiply
    2,719.52x = 4,078.28 × 940.13
  4. Step 4: Simplify right side
    2,719.52x = 3,834,113.38
  5. Step 5: Solve for x
    x = 3,834,113.38/2,719.52
  6. Step 6: Final answer
    x = 1,409.85

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1.5x scale

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.