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Finding the Fourth Proportional to 2,142.68, 3,214.26 and 988.28

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Solution

The fourth proportional to 2,142.68, 3,214.26 and 988.28 is: 1,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.68 : 3,214.26 = 988.28 : x
  2. Step 2: Convert to fraction form
    2,142.68/3,214.26 = 988.28/x
  3. Step 3: Cross multiply
    2,142.68x = 3,214.26 × 988.28
  4. Step 4: Simplify right side
    2,142.68x = 3,176,588.87
  5. Step 5: Solve for x
    x = 3,176,588.87/2,142.68
  6. Step 6: Final answer
    x = 1,482.53

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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.