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Finding the Fourth Proportional to 8,989.12, 13,447.54 and 7,769.62

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Solution

The fourth proportional to 8,989.12, 13,447.54 and 7,769.62 is: 11,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.12 : 13,447.54 = 7,769.62 : x
  2. Step 2: Convert to fraction form
    8,989.12/13,447.54 = 7,769.62/x
  3. Step 3: Cross multiply
    8,989.12x = 13,447.54 × 7,769.62
  4. Step 4: Simplify right side
    8,989.12x = 104,482,275.73
  5. Step 5: Solve for x
    x = 104,482,275.73/8,989.12
  6. Step 6: Final answer
    x = 11,623.19

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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.