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Finding the Fourth Proportional to 6,164.80, 9,248.78 and 1,782.61

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Solution

The fourth proportional to 6,164.80, 9,248.78 and 1,782.61 is: 2,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.80 : 9,248.78 = 1,782.61 : x
  2. Step 2: Convert to fraction form
    6,164.80/9,248.78 = 1,782.61/x
  3. Step 3: Cross multiply
    6,164.80x = 9,248.78 × 1,782.61
  4. Step 4: Simplify right side
    6,164.80x = 16,486,949.05
  5. Step 5: Solve for x
    x = 16,486,949.05/6,164.80
  6. Step 6: Final answer
    x = 2,674.37

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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.