Home / 2,209.95-3,315.32-977.40

Finding the Fourth Proportional to 2,209.95, 3,315.32 and 977.40

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Solution

The fourth proportional to 2,209.95, 3,315.32 and 977.40 is: 1,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.95 : 3,315.32 = 977.40 : x
  2. Step 2: Convert to fraction form
    2,209.95/3,315.32 = 977.40/x
  3. Step 3: Cross multiply
    2,209.95x = 3,315.32 × 977.40
  4. Step 4: Simplify right side
    2,209.95x = 3,240,377.19
  5. Step 5: Solve for x
    x = 3,240,377.19/2,209.95
  6. Step 6: Final answer
    x = 1,466.27

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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.