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Finding the Fourth Proportional to 18,282.35, 27,427.63 and 5,802.78

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Solution

The fourth proportional to 18,282.35, 27,427.63 and 5,802.78 is: 8,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.35 : 27,427.63 = 5,802.78 : x
  2. Step 2: Convert to fraction form
    18,282.35/27,427.63 = 5,802.78/x
  3. Step 3: Cross multiply
    18,282.35x = 27,427.63 × 5,802.78
  4. Step 4: Simplify right side
    18,282.35x = 159,156,502.81
  5. Step 5: Solve for x
    x = 159,156,502.81/18,282.35
  6. Step 6: Final answer
    x = 8,705.47

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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.