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Finding the Fourth Proportional to 6,649.93, 9,180.84 and 5,911.89

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Solution

The fourth proportional to 6,649.93, 9,180.84 and 5,911.89 is: 8,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.93 : 9,180.84 = 5,911.89 : x
  2. Step 2: Convert to fraction form
    6,649.93/9,180.84 = 5,911.89/x
  3. Step 3: Cross multiply
    6,649.93x = 9,180.84 × 5,911.89
  4. Step 4: Simplify right side
    6,649.93x = 54,276,116.19
  5. Step 5: Solve for x
    x = 54,276,116.19/6,649.93
  6. Step 6: Final answer
    x = 8,161.91

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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.