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Finding the Fourth Proportional to 5,106.11, 7,661.10 and 3,478.01

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Solution

The fourth proportional to 5,106.11, 7,661.10 and 3,478.01 is: 5,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.11 : 7,661.10 = 3,478.01 : x
  2. Step 2: Convert to fraction form
    5,106.11/7,661.10 = 3,478.01/x
  3. Step 3: Cross multiply
    5,106.11x = 7,661.10 × 3,478.01
  4. Step 4: Simplify right side
    5,106.11x = 26,645,365.02
  5. Step 5: Solve for x
    x = 26,645,365.02/5,106.11
  6. Step 6: Final answer
    x = 5,218.33

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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.