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Finding the Fourth Proportional to 7,843.64, 11,750.27 and 7,445.12

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Solution

The fourth proportional to 7,843.64, 11,750.27 and 7,445.12 is: 11,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.64 : 11,750.27 = 7,445.12 : x
  2. Step 2: Convert to fraction form
    7,843.64/11,750.27 = 7,445.12/x
  3. Step 3: Cross multiply
    7,843.64x = 11,750.27 × 7,445.12
  4. Step 4: Simplify right side
    7,843.64x = 87,482,074.21
  5. Step 5: Solve for x
    x = 87,482,074.21/7,843.64
  6. Step 6: Final answer
    x = 11,153.26

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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.