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Finding the Fourth Proportional to 9,112, 13,655.30 and 6,889

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Solution

The fourth proportional to 9,112, 13,655.30 and 6,889 is: 10,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112 : 13,655.30 = 6,889 : x
  2. Step 2: Convert to fraction form
    9,112/13,655.30 = 6,889/x
  3. Step 3: Cross multiply
    9,112x = 13,655.30 × 6,889
  4. Step 4: Simplify right side
    9,112x = 94,071,361.70
  5. Step 5: Solve for x
    x = 94,071,361.70/9,112
  6. Step 6: Final answer
    x = 10,323.90

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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.