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Finding the Fourth Proportional to 18,382.76, 27,574.48 and 5,235.48

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Solution

The fourth proportional to 18,382.76, 27,574.48 and 5,235.48 is: 7,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.76 : 27,574.48 = 5,235.48 : x
  2. Step 2: Convert to fraction form
    18,382.76/27,574.48 = 5,235.48/x
  3. Step 3: Cross multiply
    18,382.76x = 27,574.48 × 5,235.48
  4. Step 4: Simplify right side
    18,382.76x = 144,365,638.55
  5. Step 5: Solve for x
    x = 144,365,638.55/18,382.76
  6. Step 6: Final answer
    x = 7,853.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.