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Finding the Fourth Proportional to 6,840.93, 9,439.97 and 4,478.97

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Solution

The fourth proportional to 6,840.93, 9,439.97 and 4,478.97 is: 6,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.93 : 9,439.97 = 4,478.97 : x
  2. Step 2: Convert to fraction form
    6,840.93/9,439.97 = 4,478.97/x
  3. Step 3: Cross multiply
    6,840.93x = 9,439.97 × 4,478.97
  4. Step 4: Simplify right side
    6,840.93x = 42,281,320.04
  5. Step 5: Solve for x
    x = 42,281,320.04/6,840.93
  6. Step 6: Final answer
    x = 6,180.64

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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.