Home / 2,275.88-3,415.34-977.66

Finding the Fourth Proportional to 2,275.88, 3,415.34 and 977.66

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Solution

The fourth proportional to 2,275.88, 3,415.34 and 977.66 is: 1,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.88 : 3,415.34 = 977.66 : x
  2. Step 2: Convert to fraction form
    2,275.88/3,415.34 = 977.66/x
  3. Step 3: Cross multiply
    2,275.88x = 3,415.34 × 977.66
  4. Step 4: Simplify right side
    2,275.88x = 3,339,041.30
  5. Step 5: Solve for x
    x = 3,339,041.30/2,275.88
  6. Step 6: Final answer
    x = 1,467.14

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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.