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Finding the Fourth Proportional to 6,972.77, 9,618.41 and 4,176.65

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Solution

The fourth proportional to 6,972.77, 9,618.41 and 4,176.65 is: 5,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.77 : 9,618.41 = 4,176.65 : x
  2. Step 2: Convert to fraction form
    6,972.77/9,618.41 = 4,176.65/x
  3. Step 3: Cross multiply
    6,972.77x = 9,618.41 × 4,176.65
  4. Step 4: Simplify right side
    6,972.77x = 40,172,711.24
  5. Step 5: Solve for x
    x = 40,172,711.24/6,972.77
  6. Step 6: Final answer
    x = 5,761.37

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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.