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Finding the Fourth Proportional to 6,685.68, 9,225.90 and 3,853.50

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Solution

The fourth proportional to 6,685.68, 9,225.90 and 3,853.50 is: 5,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.68 : 9,225.90 = 3,853.50 : x
  2. Step 2: Convert to fraction form
    6,685.68/9,225.90 = 3,853.50/x
  3. Step 3: Cross multiply
    6,685.68x = 9,225.90 × 3,853.50
  4. Step 4: Simplify right side
    6,685.68x = 35,552,005.65
  5. Step 5: Solve for x
    x = 35,552,005.65/6,685.68
  6. Step 6: Final answer
    x = 5,317.63

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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.