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Finding the Fourth Proportional to 8,954.86, 12,363.42 and 5,769.58

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Solution

The fourth proportional to 8,954.86, 12,363.42 and 5,769.58 is: 7,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.86 : 12,363.42 = 5,769.58 : x
  2. Step 2: Convert to fraction form
    8,954.86/12,363.42 = 5,769.58/x
  3. Step 3: Cross multiply
    8,954.86x = 12,363.42 × 5,769.58
  4. Step 4: Simplify right side
    8,954.86x = 71,331,740.76
  5. Step 5: Solve for x
    x = 71,331,740.76/8,954.86
  6. Step 6: Final answer
    x = 7,965.70

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