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Finding the Fourth Proportional to 10,914.53, 15,068.93 and 7,734.56

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Solution

The fourth proportional to 10,914.53, 15,068.93 and 7,734.56 is: 10,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.53 : 15,068.93 = 7,734.56 : x
  2. Step 2: Convert to fraction form
    10,914.53/15,068.93 = 7,734.56/x
  3. Step 3: Cross multiply
    10,914.53x = 15,068.93 × 7,734.56
  4. Step 4: Simplify right side
    10,914.53x = 116,551,429.20
  5. Step 5: Solve for x
    x = 116,551,429.20/10,914.53
  6. Step 6: Final answer
    x = 10,678.56

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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.