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Finding the Fourth Proportional to 7,768.90, 10,724.97 and 4,939.12

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Solution

The fourth proportional to 7,768.90, 10,724.97 and 4,939.12 is: 6,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.90 : 10,724.97 = 4,939.12 : x
  2. Step 2: Convert to fraction form
    7,768.90/10,724.97 = 4,939.12/x
  3. Step 3: Cross multiply
    7,768.90x = 10,724.97 × 4,939.12
  4. Step 4: Simplify right side
    7,768.90x = 52,971,913.83
  5. Step 5: Solve for x
    x = 52,971,913.83/7,768.90
  6. Step 6: Final answer
    x = 6,818.46

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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.