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Finding the Fourth Proportional to 7,866.90, 10,857.58 and 5,749.38

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Solution

The fourth proportional to 7,866.90, 10,857.58 and 5,749.38 is: 7,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.90 : 10,857.58 = 5,749.38 : x
  2. Step 2: Convert to fraction form
    7,866.90/10,857.58 = 5,749.38/x
  3. Step 3: Cross multiply
    7,866.90x = 10,857.58 × 5,749.38
  4. Step 4: Simplify right side
    7,866.90x = 62,424,338.93
  5. Step 5: Solve for x
    x = 62,424,338.93/7,866.90
  6. Step 6: Final answer
    x = 7,935.06

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Why These Related Problems?

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