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Finding the Fourth Proportional to 9,822.50, 14,720.79 and 5,442.02

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Solution

The fourth proportional to 9,822.50, 14,720.79 and 5,442.02 is: 8,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.50 : 14,720.79 = 5,442.02 : x
  2. Step 2: Convert to fraction form
    9,822.50/14,720.79 = 5,442.02/x
  3. Step 3: Cross multiply
    9,822.50x = 14,720.79 × 5,442.02
  4. Step 4: Simplify right side
    9,822.50x = 80,110,833.60
  5. Step 5: Solve for x
    x = 80,110,833.60/9,822.50
  6. Step 6: Final answer
    x = 8,155.85

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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.