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Finding the Fourth Proportional to 27,317.60, 40,983.60 and 9,785.60

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Solution

The fourth proportional to 27,317.60, 40,983.60 and 9,785.60 is: 14,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,317.60 : 40,983.60 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    27,317.60/40,983.60 = 9,785.60/x
  3. Step 3: Cross multiply
    27,317.60x = 40,983.60 × 9,785.60
  4. Step 4: Simplify right side
    27,317.60x = 401,049,116.16
  5. Step 5: Solve for x
    x = 401,049,116.16/27,317.60
  6. Step 6: Final answer
    x = 14,680.98

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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.