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Finding the Fourth Proportional to 10,506.24, 15,759.34 and 7,209.34

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Solution

The fourth proportional to 10,506.24, 15,759.34 and 7,209.34 is: 10,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.24 : 15,759.34 = 7,209.34 : x
  2. Step 2: Convert to fraction form
    10,506.24/15,759.34 = 7,209.34/x
  3. Step 3: Cross multiply
    10,506.24x = 15,759.34 × 7,209.34
  4. Step 4: Simplify right side
    10,506.24x = 113,614,382.81
  5. Step 5: Solve for x
    x = 113,614,382.81/10,506.24
  6. Step 6: Final answer
    x = 10,813.99

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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.