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Finding the Fourth Proportional to 8,843.60, 12,205.14 and 5,307.68

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Solution

The fourth proportional to 8,843.60, 12,205.14 and 5,307.68 is: 7,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843.60 : 12,205.14 = 5,307.68 : x
  2. Step 2: Convert to fraction form
    8,843.60/12,205.14 = 5,307.68/x
  3. Step 3: Cross multiply
    8,843.60x = 12,205.14 × 5,307.68
  4. Step 4: Simplify right side
    8,843.60x = 64,780,977.48
  5. Step 5: Solve for x
    x = 64,780,977.48/8,843.60
  6. Step 6: Final answer
    x = 7,325.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.