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Finding the Fourth Proportional to 2,079.92, 2,870.16 and 1,148.44

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Solution

The fourth proportional to 2,079.92, 2,870.16 and 1,148.44 is: 1,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.92 : 2,870.16 = 1,148.44 : x
  2. Step 2: Convert to fraction form
    2,079.92/2,870.16 = 1,148.44/x
  3. Step 3: Cross multiply
    2,079.92x = 2,870.16 × 1,148.44
  4. Step 4: Simplify right side
    2,079.92x = 3,296,206.55
  5. Step 5: Solve for x
    x = 3,296,206.55/2,079.92
  6. Step 6: Final answer
    x = 1,584.78

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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.