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Finding the Fourth Proportional to 7,101.27, 9,801.81 and 4,117.77

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Solution

The fourth proportional to 7,101.27, 9,801.81 and 4,117.77 is: 5,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.27 : 9,801.81 = 4,117.77 : x
  2. Step 2: Convert to fraction form
    7,101.27/9,801.81 = 4,117.77/x
  3. Step 3: Cross multiply
    7,101.27x = 9,801.81 × 4,117.77
  4. Step 4: Simplify right side
    7,101.27x = 40,361,599.16
  5. Step 5: Solve for x
    x = 40,361,599.16/7,101.27
  6. Step 6: Final answer
    x = 5,683.72

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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.