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Finding the Fourth Proportional to 9,889.52, 13,644.94 and 6,357.56

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Solution

The fourth proportional to 9,889.52, 13,644.94 and 6,357.56 is: 8,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.52 : 13,644.94 = 6,357.56 : x
  2. Step 2: Convert to fraction form
    9,889.52/13,644.94 = 6,357.56/x
  3. Step 3: Cross multiply
    9,889.52x = 13,644.94 × 6,357.56
  4. Step 4: Simplify right side
    9,889.52x = 86,748,524.75
  5. Step 5: Solve for x
    x = 86,748,524.75/9,889.52
  6. Step 6: Final answer
    x = 8,771.76

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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.