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Finding the Fourth Proportional to 10,507.96, 15,768.18 and 5,314.36

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Solution

The fourth proportional to 10,507.96, 15,768.18 and 5,314.36 is: 7,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.96 : 15,768.18 = 5,314.36 : x
  2. Step 2: Convert to fraction form
    10,507.96/15,768.18 = 5,314.36/x
  3. Step 3: Cross multiply
    10,507.96x = 15,768.18 × 5,314.36
  4. Step 4: Simplify right side
    10,507.96x = 83,797,785.06
  5. Step 5: Solve for x
    x = 83,797,785.06/10,507.96
  6. Step 6: Final answer
    x = 7,974.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.