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Finding the Fourth Proportional to 9,887.44, 13,649.60 and 7,644.24

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Solution

The fourth proportional to 9,887.44, 13,649.60 and 7,644.24 is: 10,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.44 : 13,649.60 = 7,644.24 : x
  2. Step 2: Convert to fraction form
    9,887.44/13,649.60 = 7,644.24/x
  3. Step 3: Cross multiply
    9,887.44x = 13,649.60 × 7,644.24
  4. Step 4: Simplify right side
    9,887.44x = 104,340,818.30
  5. Step 5: Solve for x
    x = 104,340,818.30/9,887.44
  6. Step 6: Final answer
    x = 10,552.86

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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.