Home / 2,976.96-4,465.36-1,029.12

Finding the Fourth Proportional to 2,976.96, 4,465.36 and 1,029.12

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Solution

The fourth proportional to 2,976.96, 4,465.36 and 1,029.12 is: 1,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.96 : 4,465.36 = 1,029.12 : x
  2. Step 2: Convert to fraction form
    2,976.96/4,465.36 = 1,029.12/x
  3. Step 3: Cross multiply
    2,976.96x = 4,465.36 × 1,029.12
  4. Step 4: Simplify right side
    2,976.96x = 4,595,391.28
  5. Step 5: Solve for x
    x = 4,595,391.28/2,976.96
  6. Step 6: Final answer
    x = 1,543.65

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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.