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Finding the Fourth Proportional to 2,144, 3,213.54 and 972.74

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Solution

The fourth proportional to 2,144, 3,213.54 and 972.74 is: 1,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 3,213.54 = 972.74 : x
  2. Step 2: Convert to fraction form
    2,144/3,213.54 = 972.74/x
  3. Step 3: Cross multiply
    2,144x = 3,213.54 × 972.74
  4. Step 4: Simplify right side
    2,144x = 3,125,938.90
  5. Step 5: Solve for x
    x = 3,125,938.90/2,144
  6. Step 6: Final answer
    x = 1,457.99

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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.