Home / 2,431.80-3,648.78-972.05

Finding the Fourth Proportional to 2,431.80, 3,648.78 and 972.05

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Solution

The fourth proportional to 2,431.80, 3,648.78 and 972.05 is: 1,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.80 : 3,648.78 = 972.05 : x
  2. Step 2: Convert to fraction form
    2,431.80/3,648.78 = 972.05/x
  3. Step 3: Cross multiply
    2,431.80x = 3,648.78 × 972.05
  4. Step 4: Simplify right side
    2,431.80x = 3,546,778.36
  5. Step 5: Solve for x
    x = 3,546,778.36/2,431.80
  6. Step 6: Final answer
    x = 1,458.50

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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.