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Finding the Fourth Proportional to 9,881.62, 13,635.33 and 6,349.63

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Solution

The fourth proportional to 9,881.62, 13,635.33 and 6,349.63 is: 8,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.62 : 13,635.33 = 6,349.63 : x
  2. Step 2: Convert to fraction form
    9,881.62/13,635.33 = 6,349.63/x
  3. Step 3: Cross multiply
    9,881.62x = 13,635.33 × 6,349.63
  4. Step 4: Simplify right side
    9,881.62x = 86,579,300.43
  5. Step 5: Solve for x
    x = 86,579,300.43/9,881.62
  6. Step 6: Final answer
    x = 8,761.65

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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.