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Finding the Fourth Proportional to 2,174.94, 3,003.92 and 1,432.22

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Solution

The fourth proportional to 2,174.94, 3,003.92 and 1,432.22 is: 1,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.94 : 3,003.92 = 1,432.22 : x
  2. Step 2: Convert to fraction form
    2,174.94/3,003.92 = 1,432.22/x
  3. Step 3: Cross multiply
    2,174.94x = 3,003.92 × 1,432.22
  4. Step 4: Simplify right side
    2,174.94x = 4,302,274.65
  5. Step 5: Solve for x
    x = 4,302,274.65/2,174.94
  6. Step 6: Final answer
    x = 1,978.11

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1.5x scale

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.