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Finding the Fourth Proportional to 4,287, 5,920.92 and 2,887.32

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Solution

The fourth proportional to 4,287, 5,920.92 and 2,887.32 is: 3,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287 : 5,920.92 = 2,887.32 : x
  2. Step 2: Convert to fraction form
    4,287/5,920.92 = 2,887.32/x
  3. Step 3: Cross multiply
    4,287x = 5,920.92 × 2,887.32
  4. Step 4: Simplify right side
    4,287x = 17,095,590.73
  5. Step 5: Solve for x
    x = 17,095,590.73/4,287
  6. Step 6: Final answer
    x = 3,987.77

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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.