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Finding the Fourth Proportional to 2,972, 4,458.12 and 1,328.66

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Solution

The fourth proportional to 2,972, 4,458.12 and 1,328.66 is: 1,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 4,458.12 = 1,328.66 : x
  2. Step 2: Convert to fraction form
    2,972/4,458.12 = 1,328.66/x
  3. Step 3: Cross multiply
    2,972x = 4,458.12 × 1,328.66
  4. Step 4: Simplify right side
    2,972x = 5,923,325.72
  5. Step 5: Solve for x
    x = 5,923,325.72/2,972
  6. Step 6: Final answer
    x = 1,993.04

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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.