Home / 2,165.24-3,248.10-778.40

Finding the Fourth Proportional to 2,165.24, 3,248.10 and 778.40

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Solution

The fourth proportional to 2,165.24, 3,248.10 and 778.40 is: 1,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.24 : 3,248.10 = 778.40 : x
  2. Step 2: Convert to fraction form
    2,165.24/3,248.10 = 778.40/x
  3. Step 3: Cross multiply
    2,165.24x = 3,248.10 × 778.40
  4. Step 4: Simplify right side
    2,165.24x = 2,528,321.04
  5. Step 5: Solve for x
    x = 2,528,321.04/2,165.24
  6. Step 6: Final answer
    x = 1,167.69

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1.5x scale

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.