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Finding the Fourth Proportional to 7,773.64, 11,657.46 and 2,578.12

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Solution

The fourth proportional to 7,773.64, 11,657.46 and 2,578.12 is: 3,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.64 : 11,657.46 = 2,578.12 : x
  2. Step 2: Convert to fraction form
    7,773.64/11,657.46 = 2,578.12/x
  3. Step 3: Cross multiply
    7,773.64x = 11,657.46 × 2,578.12
  4. Step 4: Simplify right side
    7,773.64x = 30,054,330.78
  5. Step 5: Solve for x
    x = 30,054,330.78/7,773.64
  6. Step 6: Final answer
    x = 3,866.19

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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.