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Finding the Fourth Proportional to 2,165.63, 3,248.09 and 778.69

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Solution

The fourth proportional to 2,165.63, 3,248.09 and 778.69 is: 1,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.63 : 3,248.09 = 778.69 : x
  2. Step 2: Convert to fraction form
    2,165.63/3,248.09 = 778.69/x
  3. Step 3: Cross multiply
    2,165.63x = 3,248.09 × 778.69
  4. Step 4: Simplify right side
    2,165.63x = 2,529,235.07
  5. Step 5: Solve for x
    x = 2,529,235.07/2,165.63
  6. Step 6: Final answer
    x = 1,167.90

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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.