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Finding the Fourth Proportional to 2,997.92, 4,139.72 and 1,880.78

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Solution

The fourth proportional to 2,997.92, 4,139.72 and 1,880.78 is: 2,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.92 : 4,139.72 = 1,880.78 : x
  2. Step 2: Convert to fraction form
    2,997.92/4,139.72 = 1,880.78/x
  3. Step 3: Cross multiply
    2,997.92x = 4,139.72 × 1,880.78
  4. Step 4: Simplify right side
    2,997.92x = 7,785,890.11
  5. Step 5: Solve for x
    x = 7,785,890.11/2,997.92
  6. Step 6: Final answer
    x = 2,597.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.