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Finding the Fourth Proportional to 27,118.06, 40,678.53 and 8,411.02

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Solution

The fourth proportional to 27,118.06, 40,678.53 and 8,411.02 is: 12,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,118.06 : 40,678.53 = 8,411.02 : x
  2. Step 2: Convert to fraction form
    27,118.06/40,678.53 = 8,411.02/x
  3. Step 3: Cross multiply
    27,118.06x = 40,678.53 × 8,411.02
  4. Step 4: Simplify right side
    27,118.06x = 342,147,929.40
  5. Step 5: Solve for x
    x = 342,147,929.40/27,118.06
  6. Step 6: Final answer
    x = 12,616.98

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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.