Home / 2,769.24-4,154.76-1,038

Finding the Fourth Proportional to 2,769.24, 4,154.76 and 1,038

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Solution

The fourth proportional to 2,769.24, 4,154.76 and 1,038 is: 1,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.24 : 4,154.76 = 1,038 : x
  2. Step 2: Convert to fraction form
    2,769.24/4,154.76 = 1,038/x
  3. Step 3: Cross multiply
    2,769.24x = 4,154.76 × 1,038
  4. Step 4: Simplify right side
    2,769.24x = 4,312,640.88
  5. Step 5: Solve for x
    x = 4,312,640.88/2,769.24
  6. Step 6: Final answer
    x = 1,557.34

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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.