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Finding the Fourth Proportional to 7,860.47, 11,747.41 and 7,405.31

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Solution

The fourth proportional to 7,860.47, 11,747.41 and 7,405.31 is: 11,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.47 : 11,747.41 = 7,405.31 : x
  2. Step 2: Convert to fraction form
    7,860.47/11,747.41 = 7,405.31/x
  3. Step 3: Cross multiply
    7,860.47x = 11,747.41 × 7,405.31
  4. Step 4: Simplify right side
    7,860.47x = 86,993,223.60
  5. Step 5: Solve for x
    x = 86,993,223.60/7,860.47
  6. Step 6: Final answer
    x = 11,067.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.