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Finding the Fourth Proportional to 9,907.38, 13,673.59 and 6,131.76

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Solution

The fourth proportional to 9,907.38, 13,673.59 and 6,131.76 is: 8,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.38 : 13,673.59 = 6,131.76 : x
  2. Step 2: Convert to fraction form
    9,907.38/13,673.59 = 6,131.76/x
  3. Step 3: Cross multiply
    9,907.38x = 13,673.59 × 6,131.76
  4. Step 4: Simplify right side
    9,907.38x = 83,843,204.64
  5. Step 5: Solve for x
    x = 83,843,204.64/9,907.38
  6. Step 6: Final answer
    x = 8,462.70

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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.