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Finding the Fourth Proportional to 1,995.57, 2,987.85 and 1,507.14

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Solution

The fourth proportional to 1,995.57, 2,987.85 and 1,507.14 is: 2,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.57 : 2,987.85 = 1,507.14 : x
  2. Step 2: Convert to fraction form
    1,995.57/2,987.85 = 1,507.14/x
  3. Step 3: Cross multiply
    1,995.57x = 2,987.85 × 1,507.14
  4. Step 4: Simplify right side
    1,995.57x = 4,503,108.25
  5. Step 5: Solve for x
    x = 4,503,108.25/1,995.57
  6. Step 6: Final answer
    x = 2,256.55

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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.