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Finding the Fourth Proportional to 8,178.84, 11,287.15 and 4,642.38

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Solution

The fourth proportional to 8,178.84, 11,287.15 and 4,642.38 is: 6,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.84 : 11,287.15 = 4,642.38 : x
  2. Step 2: Convert to fraction form
    8,178.84/11,287.15 = 4,642.38/x
  3. Step 3: Cross multiply
    8,178.84x = 11,287.15 × 4,642.38
  4. Step 4: Simplify right side
    8,178.84x = 52,399,227.81
  5. Step 5: Solve for x
    x = 52,399,227.81/8,178.84
  6. Step 6: Final answer
    x = 6,406.68

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Half scale
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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.