Home / 2,432.32-3,650.26-971.90

Finding the Fourth Proportional to 2,432.32, 3,650.26 and 971.90

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Solution

The fourth proportional to 2,432.32, 3,650.26 and 971.90 is: 1,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.32 : 3,650.26 = 971.90 : x
  2. Step 2: Convert to fraction form
    2,432.32/3,650.26 = 971.90/x
  3. Step 3: Cross multiply
    2,432.32x = 3,650.26 × 971.90
  4. Step 4: Simplify right side
    2,432.32x = 3,547,687.69
  5. Step 5: Solve for x
    x = 3,547,687.69/2,432.32
  6. Step 6: Final answer
    x = 1,458.56

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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.