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Finding the Fourth Proportional to 7,866.21, 11,803.37 and 7,308.53

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Solution

The fourth proportional to 7,866.21, 11,803.37 and 7,308.53 is: 10,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.21 : 11,803.37 = 7,308.53 : x
  2. Step 2: Convert to fraction form
    7,866.21/11,803.37 = 7,308.53/x
  3. Step 3: Cross multiply
    7,866.21x = 11,803.37 × 7,308.53
  4. Step 4: Simplify right side
    7,866.21x = 86,265,188.19
  5. Step 5: Solve for x
    x = 86,265,188.19/7,866.21
  6. Step 6: Final answer
    x = 10,966.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.