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Finding the Fourth Proportional to 8,607.60, 12,824.89 and 8,041.84

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Solution

The fourth proportional to 8,607.60, 12,824.89 and 8,041.84 is: 11,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607.60 : 12,824.89 = 8,041.84 : x
  2. Step 2: Convert to fraction form
    8,607.60/12,824.89 = 8,041.84/x
  3. Step 3: Cross multiply
    8,607.60x = 12,824.89 × 8,041.84
  4. Step 4: Simplify right side
    8,607.60x = 103,135,713.40
  5. Step 5: Solve for x
    x = 103,135,713.40/8,607.60
  6. Step 6: Final answer
    x = 11,981.94

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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.