Home / 1,625.24-2,431.76-964.70

Finding the Fourth Proportional to 1,625.24, 2,431.76 and 964.70

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Solution

The fourth proportional to 1,625.24, 2,431.76 and 964.70 is: 1,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.24 : 2,431.76 = 964.70 : x
  2. Step 2: Convert to fraction form
    1,625.24/2,431.76 = 964.70/x
  3. Step 3: Cross multiply
    1,625.24x = 2,431.76 × 964.70
  4. Step 4: Simplify right side
    1,625.24x = 2,345,901.89
  5. Step 5: Solve for x
    x = 2,345,901.89/1,625.24
  6. Step 6: Final answer
    x = 1,443.42

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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.