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Finding the Fourth Proportional to 10,107.95, 15,152.54 and 5,166.68

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Solution

The fourth proportional to 10,107.95, 15,152.54 and 5,166.68 is: 7,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.95 : 15,152.54 = 5,166.68 : x
  2. Step 2: Convert to fraction form
    10,107.95/15,152.54 = 5,166.68/x
  3. Step 3: Cross multiply
    10,107.95x = 15,152.54 × 5,166.68
  4. Step 4: Simplify right side
    10,107.95x = 78,288,223.77
  5. Step 5: Solve for x
    x = 78,288,223.77/10,107.95
  6. Step 6: Final answer
    x = 7,745.22

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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.