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Finding the Fourth Proportional to 8,322.78, 11,482.11 and 7,413.84

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Solution

The fourth proportional to 8,322.78, 11,482.11 and 7,413.84 is: 10,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.78 : 11,482.11 = 7,413.84 : x
  2. Step 2: Convert to fraction form
    8,322.78/11,482.11 = 7,413.84/x
  3. Step 3: Cross multiply
    8,322.78x = 11,482.11 × 7,413.84
  4. Step 4: Simplify right side
    8,322.78x = 85,126,526.40
  5. Step 5: Solve for x
    x = 85,126,526.40/8,322.78
  6. Step 6: Final answer
    x = 10,228.14

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1.5x scale

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.