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Finding the Fourth Proportional to 10,894.74, 15,034.46 and 6,418.68

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Solution

The fourth proportional to 10,894.74, 15,034.46 and 6,418.68 is: 8,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.74 : 15,034.46 = 6,418.68 : x
  2. Step 2: Convert to fraction form
    10,894.74/15,034.46 = 6,418.68/x
  3. Step 3: Cross multiply
    10,894.74x = 15,034.46 × 6,418.68
  4. Step 4: Simplify right side
    10,894.74x = 96,501,387.71
  5. Step 5: Solve for x
    x = 96,501,387.71/10,894.74
  6. Step 6: Final answer
    x = 8,857.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.