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Finding the Fourth Proportional to 2,142.56, 3,213.84 and 988.04

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Solution

The fourth proportional to 2,142.56, 3,213.84 and 988.04 is: 1,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.56 : 3,213.84 = 988.04 : x
  2. Step 2: Convert to fraction form
    2,142.56/3,213.84 = 988.04/x
  3. Step 3: Cross multiply
    2,142.56x = 3,213.84 × 988.04
  4. Step 4: Simplify right side
    2,142.56x = 3,175,402.47
  5. Step 5: Solve for x
    x = 3,175,402.47/2,142.56
  6. Step 6: Final answer
    x = 1,482.06

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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.