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Finding the Fourth Proportional to 2,672, 4,009.96 and 2,158.16

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Solution

The fourth proportional to 2,672, 4,009.96 and 2,158.16 is: 3,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672 : 4,009.96 = 2,158.16 : x
  2. Step 2: Convert to fraction form
    2,672/4,009.96 = 2,158.16/x
  3. Step 3: Cross multiply
    2,672x = 4,009.96 × 2,158.16
  4. Step 4: Simplify right side
    2,672x = 8,654,135.27
  5. Step 5: Solve for x
    x = 8,654,135.27/2,672
  6. Step 6: Final answer
    x = 3,238.82

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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.