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Finding the Fourth Proportional to 2,142.53, 3,213.80 and 972.95

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Solution

The fourth proportional to 2,142.53, 3,213.80 and 972.95 is: 1,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.53 : 3,213.80 = 972.95 : x
  2. Step 2: Convert to fraction form
    2,142.53/3,213.80 = 972.95/x
  3. Step 3: Cross multiply
    2,142.53x = 3,213.80 × 972.95
  4. Step 4: Simplify right side
    2,142.53x = 3,126,852.16
  5. Step 5: Solve for x
    x = 3,126,852.16/2,142.53
  6. Step 6: Final answer
    x = 1,459.42

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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.