Home / 2,332.10-3,496.08-946.46

Finding the Fourth Proportional to 2,332.10, 3,496.08 and 946.46

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Solution

The fourth proportional to 2,332.10, 3,496.08 and 946.46 is: 1,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.10 : 3,496.08 = 946.46 : x
  2. Step 2: Convert to fraction form
    2,332.10/3,496.08 = 946.46/x
  3. Step 3: Cross multiply
    2,332.10x = 3,496.08 × 946.46
  4. Step 4: Simplify right side
    2,332.10x = 3,308,899.88
  5. Step 5: Solve for x
    x = 3,308,899.88/2,332.10
  6. Step 6: Final answer
    x = 1,418.85

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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.