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Finding the Fourth Proportional to 27,204.61, 40,802.20 and 7,478.48

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Solution

The fourth proportional to 27,204.61, 40,802.20 and 7,478.48 is: 11,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204.61 : 40,802.20 = 7,478.48 : x
  2. Step 2: Convert to fraction form
    27,204.61/40,802.20 = 7,478.48/x
  3. Step 3: Cross multiply
    27,204.61x = 40,802.20 × 7,478.48
  4. Step 4: Simplify right side
    27,204.61x = 305,138,232.65
  5. Step 5: Solve for x
    x = 305,138,232.65/27,204.61
  6. Step 6: Final answer
    x = 11,216.42

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