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Finding the Fourth Proportional to 9,877.22, 13,630.01 and 5,400.08

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Solution

The fourth proportional to 9,877.22, 13,630.01 and 5,400.08 is: 7,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.22 : 13,630.01 = 5,400.08 : x
  2. Step 2: Convert to fraction form
    9,877.22/13,630.01 = 5,400.08/x
  3. Step 3: Cross multiply
    9,877.22x = 13,630.01 × 5,400.08
  4. Step 4: Simplify right side
    9,877.22x = 73,603,049.25
  5. Step 5: Solve for x
    x = 73,603,049.25/9,877.22
  6. Step 6: Final answer
    x = 7,451.80

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