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Finding the Fourth Proportional to 6,728.47, 9,285.94 and 4,077.74

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Solution

The fourth proportional to 6,728.47, 9,285.94 and 4,077.74 is: 5,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.47 : 9,285.94 = 4,077.74 : x
  2. Step 2: Convert to fraction form
    6,728.47/9,285.94 = 4,077.74/x
  3. Step 3: Cross multiply
    6,728.47x = 9,285.94 × 4,077.74
  4. Step 4: Simplify right side
    6,728.47x = 37,865,677.29
  5. Step 5: Solve for x
    x = 37,865,677.29/6,728.47
  6. Step 6: Final answer
    x = 5,627.68

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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.