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Finding the Fourth Proportional to 5,422.86, 8,123.49 and 4,966.02

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Solution

The fourth proportional to 5,422.86, 8,123.49 and 4,966.02 is: 7,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.86 : 8,123.49 = 4,966.02 : x
  2. Step 2: Convert to fraction form
    5,422.86/8,123.49 = 4,966.02/x
  3. Step 3: Cross multiply
    5,422.86x = 8,123.49 × 4,966.02
  4. Step 4: Simplify right side
    5,422.86x = 40,341,413.81
  5. Step 5: Solve for x
    x = 40,341,413.81/5,422.86
  6. Step 6: Final answer
    x = 7,439.14

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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.