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Finding the Fourth Proportional to 6,855.23, 9,478.86 and 6,743.99

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Solution

The fourth proportional to 6,855.23, 9,478.86 and 6,743.99 is: 9,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.23 : 9,478.86 = 6,743.99 : x
  2. Step 2: Convert to fraction form
    6,855.23/9,478.86 = 6,743.99/x
  3. Step 3: Cross multiply
    6,855.23x = 9,478.86 × 6,743.99
  4. Step 4: Simplify right side
    6,855.23x = 63,925,335.46
  5. Step 5: Solve for x
    x = 63,925,335.46/6,855.23
  6. Step 6: Final answer
    x = 9,325.04

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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.