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Finding the Fourth Proportional to 7,178.63, 9,905.73 and 4,194.08

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Solution

The fourth proportional to 7,178.63, 9,905.73 and 4,194.08 is: 5,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.63 : 9,905.73 = 4,194.08 : x
  2. Step 2: Convert to fraction form
    7,178.63/9,905.73 = 4,194.08/x
  3. Step 3: Cross multiply
    7,178.63x = 9,905.73 × 4,194.08
  4. Step 4: Simplify right side
    7,178.63x = 41,545,395.97
  5. Step 5: Solve for x
    x = 41,545,395.97/7,178.63
  6. Step 6: Final answer
    x = 5,787.38

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Half scale
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Double 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.