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Finding the Fourth Proportional to 2,166.32, 3,250.48 and 780.22

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Solution

The fourth proportional to 2,166.32, 3,250.48 and 780.22 is: 1,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.32 : 3,250.48 = 780.22 : x
  2. Step 2: Convert to fraction form
    2,166.32/3,250.48 = 780.22/x
  3. Step 3: Cross multiply
    2,166.32x = 3,250.48 × 780.22
  4. Step 4: Simplify right side
    2,166.32x = 2,536,089.51
  5. Step 5: Solve for x
    x = 2,536,089.51/2,166.32
  6. Step 6: Final answer
    x = 1,170.69

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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.