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Finding the Fourth Proportional to 10,917.16, 15,065.68 and 5,949.16

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Solution

The fourth proportional to 10,917.16, 15,065.68 and 5,949.16 is: 8,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.16 : 15,065.68 = 5,949.16 : x
  2. Step 2: Convert to fraction form
    10,917.16/15,065.68 = 5,949.16/x
  3. Step 3: Cross multiply
    10,917.16x = 15,065.68 × 5,949.16
  4. Step 4: Simplify right side
    10,917.16x = 89,628,140.83
  5. Step 5: Solve for x
    x = 89,628,140.83/10,917.16
  6. Step 6: Final answer
    x = 8,209.84

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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.