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Finding the Fourth Proportional to 5,106.66, 7,047.24 and 2,868.57

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Solution

The fourth proportional to 5,106.66, 7,047.24 and 2,868.57 is: 3,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.66 : 7,047.24 = 2,868.57 : x
  2. Step 2: Convert to fraction form
    5,106.66/7,047.24 = 2,868.57/x
  3. Step 3: Cross multiply
    5,106.66x = 7,047.24 × 2,868.57
  4. Step 4: Simplify right side
    5,106.66x = 20,215,501.25
  5. Step 5: Solve for x
    x = 20,215,501.25/5,106.66
  6. Step 6: Final answer
    x = 3,958.65

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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.