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Finding the Fourth Proportional to 6,971.88, 10,463.04 and 4,878.12

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Solution

The fourth proportional to 6,971.88, 10,463.04 and 4,878.12 is: 7,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.88 : 10,463.04 = 4,878.12 : x
  2. Step 2: Convert to fraction form
    6,971.88/10,463.04 = 4,878.12/x
  3. Step 3: Cross multiply
    6,971.88x = 10,463.04 × 4,878.12
  4. Step 4: Simplify right side
    6,971.88x = 51,039,964.68
  5. Step 5: Solve for x
    x = 51,039,964.68/6,971.88
  6. Step 6: Final answer
    x = 7,320.83

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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.