Home / 2,431.26-3,646.90-970.78

Finding the Fourth Proportional to 2,431.26, 3,646.90 and 970.78

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Solution

The fourth proportional to 2,431.26, 3,646.90 and 970.78 is: 1,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.26 : 3,646.90 = 970.78 : x
  2. Step 2: Convert to fraction form
    2,431.26/3,646.90 = 970.78/x
  3. Step 3: Cross multiply
    2,431.26x = 3,646.90 × 970.78
  4. Step 4: Simplify right side
    2,431.26x = 3,540,337.58
  5. Step 5: Solve for x
    x = 3,540,337.58/2,431.26
  6. Step 6: Final answer
    x = 1,456.17

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1.5x scale

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.