Home / 2,275.92-3,415.50-977.76

Finding the Fourth Proportional to 2,275.92, 3,415.50 and 977.76

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Solution

The fourth proportional to 2,275.92, 3,415.50 and 977.76 is: 1,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.92 : 3,415.50 = 977.76 : x
  2. Step 2: Convert to fraction form
    2,275.92/3,415.50 = 977.76/x
  3. Step 3: Cross multiply
    2,275.92x = 3,415.50 × 977.76
  4. Step 4: Simplify right side
    2,275.92x = 3,339,539.28
  5. Step 5: Solve for x
    x = 3,339,539.28/2,275.92
  6. Step 6: Final answer
    x = 1,467.34

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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.