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Finding the Fourth Proportional to 9,891.06, 13,649.87 and 5,415

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Solution

The fourth proportional to 9,891.06, 13,649.87 and 5,415 is: 7,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.06 : 13,649.87 = 5,415 : x
  2. Step 2: Convert to fraction form
    9,891.06/13,649.87 = 5,415/x
  3. Step 3: Cross multiply
    9,891.06x = 13,649.87 × 5,415
  4. Step 4: Simplify right side
    9,891.06x = 73,914,046.05
  5. Step 5: Solve for x
    x = 73,914,046.05/9,891.06
  6. Step 6: Final answer
    x = 7,472.81

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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.