Home / 3,177.28-4,384.64-1,780

Finding the Fourth Proportional to 3,177.28, 4,384.64 and 1,780

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Solution

The fourth proportional to 3,177.28, 4,384.64 and 1,780 is: 2,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.28 : 4,384.64 = 1,780 : x
  2. Step 2: Convert to fraction form
    3,177.28/4,384.64 = 1,780/x
  3. Step 3: Cross multiply
    3,177.28x = 4,384.64 × 1,780
  4. Step 4: Simplify right side
    3,177.28x = 7,804,659.20
  5. Step 5: Solve for x
    x = 7,804,659.20/3,177.28
  6. Step 6: Final answer
    x = 2,456.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.