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Finding the Fourth Proportional to 1,987.10, 2,981.05 and 754.28

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Solution

The fourth proportional to 1,987.10, 2,981.05 and 754.28 is: 1,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.10 : 2,981.05 = 754.28 : x
  2. Step 2: Convert to fraction form
    1,987.10/2,981.05 = 754.28/x
  3. Step 3: Cross multiply
    1,987.10x = 2,981.05 × 754.28
  4. Step 4: Simplify right side
    1,987.10x = 2,248,546.39
  5. Step 5: Solve for x
    x = 2,248,546.39/1,987.10
  6. Step 6: Final answer
    x = 1,131.57

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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.