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Finding the Fourth Proportional to 9,918.84, 13,676.94 and 6,377.16

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Solution

The fourth proportional to 9,918.84, 13,676.94 and 6,377.16 is: 8,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.84 : 13,676.94 = 6,377.16 : x
  2. Step 2: Convert to fraction form
    9,918.84/13,676.94 = 6,377.16/x
  3. Step 3: Cross multiply
    9,918.84x = 13,676.94 × 6,377.16
  4. Step 4: Simplify right side
    9,918.84x = 87,220,034.69
  5. Step 5: Solve for x
    x = 87,220,034.69/9,918.84
  6. Step 6: Final answer
    x = 8,793.37

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1.5x scale

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.