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Finding the Fourth Proportional to 2,887, 3,987.30 and 1,953.88

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Solution

The fourth proportional to 2,887, 3,987.30 and 1,953.88 is: 2,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887 : 3,987.30 = 1,953.88 : x
  2. Step 2: Convert to fraction form
    2,887/3,987.30 = 1,953.88/x
  3. Step 3: Cross multiply
    2,887x = 3,987.30 × 1,953.88
  4. Step 4: Simplify right side
    2,887x = 7,790,705.72
  5. Step 5: Solve for x
    x = 7,790,705.72/2,887
  6. Step 6: Final answer
    x = 2,698.55

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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.