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Finding the Fourth Proportional to 9,891.64, 13,637.73 and 6,353.56

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Solution

The fourth proportional to 9,891.64, 13,637.73 and 6,353.56 is: 8,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.64 : 13,637.73 = 6,353.56 : x
  2. Step 2: Convert to fraction form
    9,891.64/13,637.73 = 6,353.56/x
  3. Step 3: Cross multiply
    9,891.64x = 13,637.73 × 6,353.56
  4. Step 4: Simplify right side
    9,891.64x = 86,648,135.82
  5. Step 5: Solve for x
    x = 86,648,135.82/9,891.64
  6. Step 6: Final answer
    x = 8,759.73

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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.