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Finding the Fourth Proportional to 9,101.73, 12,559.41 and 5,122.77

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Solution

The fourth proportional to 9,101.73, 12,559.41 and 5,122.77 is: 7,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.73 : 12,559.41 = 5,122.77 : x
  2. Step 2: Convert to fraction form
    9,101.73/12,559.41 = 5,122.77/x
  3. Step 3: Cross multiply
    9,101.73x = 12,559.41 × 5,122.77
  4. Step 4: Simplify right side
    9,101.73x = 64,338,968.77
  5. Step 5: Solve for x
    x = 64,338,968.77/9,101.73
  6. Step 6: Final answer
    x = 7,068.87

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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.