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Finding the Fourth Proportional to 9,376.38, 12,938.01 and 7,108.98

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Solution

The fourth proportional to 9,376.38, 12,938.01 and 7,108.98 is: 9,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.38 : 12,938.01 = 7,108.98 : x
  2. Step 2: Convert to fraction form
    9,376.38/12,938.01 = 7,108.98/x
  3. Step 3: Cross multiply
    9,376.38x = 12,938.01 × 7,108.98
  4. Step 4: Simplify right side
    9,376.38x = 91,976,054.33
  5. Step 5: Solve for x
    x = 91,976,054.33/9,376.38
  6. Step 6: Final answer
    x = 9,809.34

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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.