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Finding the Fourth Proportional to 7,022.50, 9,691.08 and 3,878.92

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Solution

The fourth proportional to 7,022.50, 9,691.08 and 3,878.92 is: 5,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.50 : 9,691.08 = 3,878.92 : x
  2. Step 2: Convert to fraction form
    7,022.50/9,691.08 = 3,878.92/x
  3. Step 3: Cross multiply
    7,022.50x = 9,691.08 × 3,878.92
  4. Step 4: Simplify right side
    7,022.50x = 37,590,924.03
  5. Step 5: Solve for x
    x = 37,590,924.03/7,022.50
  6. Step 6: Final answer
    x = 5,352.93

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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.