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Finding the Fourth Proportional to 8,356.54, 12,516.74 and 7,865.80

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Solution

The fourth proportional to 8,356.54, 12,516.74 and 7,865.80 is: 11,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.54 : 12,516.74 = 7,865.80 : x
  2. Step 2: Convert to fraction form
    8,356.54/12,516.74 = 7,865.80/x
  3. Step 3: Cross multiply
    8,356.54x = 12,516.74 × 7,865.80
  4. Step 4: Simplify right side
    8,356.54x = 98,454,173.49
  5. Step 5: Solve for x
    x = 98,454,173.49/8,356.54
  6. Step 6: Final answer
    x = 11,781.69

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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.