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Finding the Fourth Proportional to 27,316.08, 40,978.44 and 9,785.52

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Solution

The fourth proportional to 27,316.08, 40,978.44 and 9,785.52 is: 14,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,316.08 : 40,978.44 = 9,785.52 : x
  2. Step 2: Convert to fraction form
    27,316.08/40,978.44 = 9,785.52/x
  3. Step 3: Cross multiply
    27,316.08x = 40,978.44 × 9,785.52
  4. Step 4: Simplify right side
    27,316.08x = 400,995,344.19
  5. Step 5: Solve for x
    x = 400,995,344.19/27,316.08
  6. Step 6: Final answer
    x = 14,679.83

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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.