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Finding the Fourth Proportional to 2,431.89, 3,648.65 and 872.24

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Solution

The fourth proportional to 2,431.89, 3,648.65 and 872.24 is: 1,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.89 : 3,648.65 = 872.24 : x
  2. Step 2: Convert to fraction form
    2,431.89/3,648.65 = 872.24/x
  3. Step 3: Cross multiply
    2,431.89x = 3,648.65 × 872.24
  4. Step 4: Simplify right side
    2,431.89x = 3,182,475.87
  5. Step 5: Solve for x
    x = 3,182,475.87/2,431.89
  6. Step 6: Final answer
    x = 1,308.64

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1.5x scale

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.