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Finding the Fourth Proportional to 9,326.78, 12,870.96 and 5,135

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Solution

The fourth proportional to 9,326.78, 12,870.96 and 5,135 is: 7,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.78 : 12,870.96 = 5,135 : x
  2. Step 2: Convert to fraction form
    9,326.78/12,870.96 = 5,135/x
  3. Step 3: Cross multiply
    9,326.78x = 12,870.96 × 5,135
  4. Step 4: Simplify right side
    9,326.78x = 66,092,379.60
  5. Step 5: Solve for x
    x = 66,092,379.60/9,326.78
  6. Step 6: Final answer
    x = 7,086.30

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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.