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Finding the Fourth Proportional to 27,343.56, 40,990.74 and 9,809.28

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Solution

The fourth proportional to 27,343.56, 40,990.74 and 9,809.28 is: 14,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343.56 : 40,990.74 = 9,809.28 : x
  2. Step 2: Convert to fraction form
    27,343.56/40,990.74 = 9,809.28/x
  3. Step 3: Cross multiply
    27,343.56x = 40,990.74 × 9,809.28
  4. Step 4: Simplify right side
    27,343.56x = 402,089,646.07
  5. Step 5: Solve for x
    x = 402,089,646.07/27,343.56
  6. Step 6: Final answer
    x = 14,705.09

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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.