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Finding the Fourth Proportional to 5,236.64, 7,854.92 and 1,287.88

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Solution

The fourth proportional to 5,236.64, 7,854.92 and 1,287.88 is: 1,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.64 : 7,854.92 = 1,287.88 : x
  2. Step 2: Convert to fraction form
    5,236.64/7,854.92 = 1,287.88/x
  3. Step 3: Cross multiply
    5,236.64x = 7,854.92 × 1,287.88
  4. Step 4: Simplify right side
    5,236.64x = 10,116,194.37
  5. Step 5: Solve for x
    x = 10,116,194.37/5,236.64
  6. Step 6: Final answer
    x = 1,931.81

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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.