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Finding the Fourth Proportional to 2,989.42, 4,125.42 and 1,663.18

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Solution

The fourth proportional to 2,989.42, 4,125.42 and 1,663.18 is: 2,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.42 : 4,125.42 = 1,663.18 : x
  2. Step 2: Convert to fraction form
    2,989.42/4,125.42 = 1,663.18/x
  3. Step 3: Cross multiply
    2,989.42x = 4,125.42 × 1,663.18
  4. Step 4: Simplify right side
    2,989.42x = 6,861,316.04
  5. Step 5: Solve for x
    x = 6,861,316.04/2,989.42
  6. Step 6: Final answer
    x = 2,295.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.