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Finding the Fourth Proportional to 2,805.66, 4,207.01 and 1,490.15

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Solution

The fourth proportional to 2,805.66, 4,207.01 and 1,490.15 is: 2,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.66 : 4,207.01 = 1,490.15 : x
  2. Step 2: Convert to fraction form
    2,805.66/4,207.01 = 1,490.15/x
  3. Step 3: Cross multiply
    2,805.66x = 4,207.01 × 1,490.15
  4. Step 4: Simplify right side
    2,805.66x = 6,269,047.47
  5. Step 5: Solve for x
    x = 6,269,047.47/2,805.66
  6. Step 6: Final answer
    x = 2,234.43

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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.