Home / 1,581.10-2,371.78-964.48

Finding the Fourth Proportional to 1,581.10, 2,371.78 and 964.48

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Solution

The fourth proportional to 1,581.10, 2,371.78 and 964.48 is: 1,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.10 : 2,371.78 = 964.48 : x
  2. Step 2: Convert to fraction form
    1,581.10/2,371.78 = 964.48/x
  3. Step 3: Cross multiply
    1,581.10x = 2,371.78 × 964.48
  4. Step 4: Simplify right side
    1,581.10x = 2,287,534.37
  5. Step 5: Solve for x
    x = 2,287,534.37/1,581.10
  6. Step 6: Final answer
    x = 1,446.80

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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.