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Finding the Fourth Proportional to 2,990.92, 4,487.40 and 1,431.40

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Solution

The fourth proportional to 2,990.92, 4,487.40 and 1,431.40 is: 2,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.92 : 4,487.40 = 1,431.40 : x
  2. Step 2: Convert to fraction form
    2,990.92/4,487.40 = 1,431.40/x
  3. Step 3: Cross multiply
    2,990.92x = 4,487.40 × 1,431.40
  4. Step 4: Simplify right side
    2,990.92x = 6,423,264.36
  5. Step 5: Solve for x
    x = 6,423,264.36/2,990.92
  6. Step 6: Final answer
    x = 2,147.59

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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.