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Finding the Fourth Proportional to 6,397.84, 9,607.74 and 3,947.14

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Solution

The fourth proportional to 6,397.84, 9,607.74 and 3,947.14 is: 5,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.84 : 9,607.74 = 3,947.14 : x
  2. Step 2: Convert to fraction form
    6,397.84/9,607.74 = 3,947.14/x
  3. Step 3: Cross multiply
    6,397.84x = 9,607.74 × 3,947.14
  4. Step 4: Simplify right side
    6,397.84x = 37,923,094.86
  5. Step 5: Solve for x
    x = 37,923,094.86/6,397.84
  6. Step 6: Final answer
    x = 5,927.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.