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Finding the Fourth Proportional to 27,040.23, 40,585.78 and 13,722.78

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Solution

The fourth proportional to 27,040.23, 40,585.78 and 13,722.78 is: 20,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,040.23 : 40,585.78 = 13,722.78 : x
  2. Step 2: Convert to fraction form
    27,040.23/40,585.78 = 13,722.78/x
  3. Step 3: Cross multiply
    27,040.23x = 40,585.78 × 13,722.78
  4. Step 4: Simplify right side
    27,040.23x = 556,949,695.76
  5. Step 5: Solve for x
    x = 556,949,695.76/27,040.23
  6. Step 6: Final answer
    x = 20,597.08

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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.