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Finding the Fourth Proportional to 2,887.86, 4,331.33 and 807.64

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Solution

The fourth proportional to 2,887.86, 4,331.33 and 807.64 is: 1,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.86 : 4,331.33 = 807.64 : x
  2. Step 2: Convert to fraction form
    2,887.86/4,331.33 = 807.64/x
  3. Step 3: Cross multiply
    2,887.86x = 4,331.33 × 807.64
  4. Step 4: Simplify right side
    2,887.86x = 3,498,157.38
  5. Step 5: Solve for x
    x = 3,498,157.38/2,887.86
  6. Step 6: Final answer
    x = 1,211.33

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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.