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Finding the Fourth Proportional to 2,887.91, 4,331.07 and 807.78

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Solution

The fourth proportional to 2,887.91, 4,331.07 and 807.78 is: 1,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.91 : 4,331.07 = 807.78 : x
  2. Step 2: Convert to fraction form
    2,887.91/4,331.07 = 807.78/x
  3. Step 3: Cross multiply
    2,887.91x = 4,331.07 × 807.78
  4. Step 4: Simplify right side
    2,887.91x = 3,498,551.72
  5. Step 5: Solve for x
    x = 3,498,551.72/2,887.91
  6. Step 6: Final answer
    x = 1,211.45

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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.