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Finding the Fourth Proportional to 3,129.32, 4,698.84 and 2,990.82

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Solution

The fourth proportional to 3,129.32, 4,698.84 and 2,990.82 is: 4,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.32 : 4,698.84 = 2,990.82 : x
  2. Step 2: Convert to fraction form
    3,129.32/4,698.84 = 2,990.82/x
  3. Step 3: Cross multiply
    3,129.32x = 4,698.84 × 2,990.82
  4. Step 4: Simplify right side
    3,129.32x = 14,053,384.65
  5. Step 5: Solve for x
    x = 14,053,384.65/3,129.32
  6. Step 6: Final answer
    x = 4,490.87

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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.