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Finding the Fourth Proportional to 6,802.38, 9,390.80 and 5,286.55

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Solution

The fourth proportional to 6,802.38, 9,390.80 and 5,286.55 is: 7,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.38 : 9,390.80 = 5,286.55 : x
  2. Step 2: Convert to fraction form
    6,802.38/9,390.80 = 5,286.55/x
  3. Step 3: Cross multiply
    6,802.38x = 9,390.80 × 5,286.55
  4. Step 4: Simplify right side
    6,802.38x = 49,644,897.05
  5. Step 5: Solve for x
    x = 49,644,897.05/6,802.38
  6. Step 6: Final answer
    x = 7,298.17

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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.