Home / 2,293.20-3,437.34-977.64

Finding the Fourth Proportional to 2,293.20, 3,437.34 and 977.64

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Solution

The fourth proportional to 2,293.20, 3,437.34 and 977.64 is: 1,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.20 : 3,437.34 = 977.64 : x
  2. Step 2: Convert to fraction form
    2,293.20/3,437.34 = 977.64/x
  3. Step 3: Cross multiply
    2,293.20x = 3,437.34 × 977.64
  4. Step 4: Simplify right side
    2,293.20x = 3,360,481.08
  5. Step 5: Solve for x
    x = 3,360,481.08/2,293.20
  6. Step 6: Final answer
    x = 1,465.41

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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.