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Finding the Fourth Proportional to 8,906.84, 12,278.20 and 7,641.80

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Solution

The fourth proportional to 8,906.84, 12,278.20 and 7,641.80 is: 10,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.84 : 12,278.20 = 7,641.80 : x
  2. Step 2: Convert to fraction form
    8,906.84/12,278.20 = 7,641.80/x
  3. Step 3: Cross multiply
    8,906.84x = 12,278.20 × 7,641.80
  4. Step 4: Simplify right side
    8,906.84x = 93,827,548.76
  5. Step 5: Solve for x
    x = 93,827,548.76/8,906.84
  6. Step 6: Final answer
    x = 10,534.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.