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Finding the Fourth Proportional to 8,947.42, 13,355.68 and 8,296.90

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Solution

The fourth proportional to 8,947.42, 13,355.68 and 8,296.90 is: 12,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.42 : 13,355.68 = 8,296.90 : x
  2. Step 2: Convert to fraction form
    8,947.42/13,355.68 = 8,296.90/x
  3. Step 3: Cross multiply
    8,947.42x = 13,355.68 × 8,296.90
  4. Step 4: Simplify right side
    8,947.42x = 110,810,741.39
  5. Step 5: Solve for x
    x = 110,810,741.39/8,947.42
  6. Step 6: Final answer
    x = 12,384.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.