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Finding the Fourth Proportional to 6,687.84, 9,233.73 and 4,173.78

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Solution

The fourth proportional to 6,687.84, 9,233.73 and 4,173.78 is: 5,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.84 : 9,233.73 = 4,173.78 : x
  2. Step 2: Convert to fraction form
    6,687.84/9,233.73 = 4,173.78/x
  3. Step 3: Cross multiply
    6,687.84x = 9,233.73 × 4,173.78
  4. Step 4: Simplify right side
    6,687.84x = 38,539,557.60
  5. Step 5: Solve for x
    x = 38,539,557.60/6,687.84
  6. Step 6: Final answer
    x = 5,762.63

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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.