Home / 1,622.33-2,432.13-964.41

Finding the Fourth Proportional to 1,622.33, 2,432.13 and 964.41

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Solution

The fourth proportional to 1,622.33, 2,432.13 and 964.41 is: 1,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.33 : 2,432.13 = 964.41 : x
  2. Step 2: Convert to fraction form
    1,622.33/2,432.13 = 964.41/x
  3. Step 3: Cross multiply
    1,622.33x = 2,432.13 × 964.41
  4. Step 4: Simplify right side
    1,622.33x = 2,345,557.76
  5. Step 5: Solve for x
    x = 2,345,557.76/1,622.33
  6. Step 6: Final answer
    x = 1,445.80

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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.