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Finding the Fourth Proportional to 8,587.62, 12,894.51 and 8,164.75

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Solution

The fourth proportional to 8,587.62, 12,894.51 and 8,164.75 is: 12,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.62 : 12,894.51 = 8,164.75 : x
  2. Step 2: Convert to fraction form
    8,587.62/12,894.51 = 8,164.75/x
  3. Step 3: Cross multiply
    8,587.62x = 12,894.51 × 8,164.75
  4. Step 4: Simplify right side
    8,587.62x = 105,280,418.29
  5. Step 5: Solve for x
    x = 105,280,418.29/8,587.62
  6. Step 6: Final answer
    x = 12,259.56

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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.