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Finding the Fourth Proportional to 9,887.85, 13,649.21 and 5,908.22

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Solution

The fourth proportional to 9,887.85, 13,649.21 and 5,908.22 is: 8,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.85 : 13,649.21 = 5,908.22 : x
  2. Step 2: Convert to fraction form
    9,887.85/13,649.21 = 5,908.22/x
  3. Step 3: Cross multiply
    9,887.85x = 13,649.21 × 5,908.22
  4. Step 4: Simplify right side
    9,887.85x = 80,642,437.72
  5. Step 5: Solve for x
    x = 80,642,437.72/9,887.85
  6. Step 6: Final answer
    x = 8,155.71

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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.