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Finding the Fourth Proportional to 7,188.33, 9,866.90 and 6,384.81

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Solution

The fourth proportional to 7,188.33, 9,866.90 and 6,384.81 is: 8,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.33 : 9,866.90 = 6,384.81 : x
  2. Step 2: Convert to fraction form
    7,188.33/9,866.90 = 6,384.81/x
  3. Step 3: Cross multiply
    7,188.33x = 9,866.90 × 6,384.81
  4. Step 4: Simplify right side
    7,188.33x = 62,998,249.86
  5. Step 5: Solve for x
    x = 62,998,249.86/7,188.33
  6. Step 6: Final answer
    x = 8,763.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.