Home / 2,209.96-3,312.78-977.68

Finding the Fourth Proportional to 2,209.96, 3,312.78 and 977.68

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Solution

The fourth proportional to 2,209.96, 3,312.78 and 977.68 is: 1,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.96 : 3,312.78 = 977.68 : x
  2. Step 2: Convert to fraction form
    2,209.96/3,312.78 = 977.68/x
  3. Step 3: Cross multiply
    2,209.96x = 3,312.78 × 977.68
  4. Step 4: Simplify right side
    2,209.96x = 3,238,838.75
  5. Step 5: Solve for x
    x = 3,238,838.75/2,209.96
  6. Step 6: Final answer
    x = 1,465.56

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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.