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Finding the Fourth Proportional to 1,807.12, 2,479.97 and 1,640.80

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Solution

The fourth proportional to 1,807.12, 2,479.97 and 1,640.80 is: 2,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.12 : 2,479.97 = 1,640.80 : x
  2. Step 2: Convert to fraction form
    1,807.12/2,479.97 = 1,640.80/x
  3. Step 3: Cross multiply
    1,807.12x = 2,479.97 × 1,640.80
  4. Step 4: Simplify right side
    1,807.12x = 4,069,134.78
  5. Step 5: Solve for x
    x = 4,069,134.78/1,807.12
  6. Step 6: Final answer
    x = 2,251.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.