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Finding the Fourth Proportional to 2,990.67, 4,125.18 and 1,929.78

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Solution

The fourth proportional to 2,990.67, 4,125.18 and 1,929.78 is: 2,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.67 : 4,125.18 = 1,929.78 : x
  2. Step 2: Convert to fraction form
    2,990.67/4,125.18 = 1,929.78/x
  3. Step 3: Cross multiply
    2,990.67x = 4,125.18 × 1,929.78
  4. Step 4: Simplify right side
    2,990.67x = 7,960,689.86
  5. Step 5: Solve for x
    x = 7,960,689.86/2,990.67
  6. Step 6: Final answer
    x = 2,661.84

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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.