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Finding the Fourth Proportional to 10,956, 15,132.24 and 7,413.06

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Solution

The fourth proportional to 10,956, 15,132.24 and 7,413.06 is: 10,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956 : 15,132.24 = 7,413.06 : x
  2. Step 2: Convert to fraction form
    10,956/15,132.24 = 7,413.06/x
  3. Step 3: Cross multiply
    10,956x = 15,132.24 × 7,413.06
  4. Step 4: Simplify right side
    10,956x = 112,176,203.05
  5. Step 5: Solve for x
    x = 112,176,203.05/10,956
  6. Step 6: Final answer
    x = 10,238.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.