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Finding the Fourth Proportional to 8,274.64, 11,418.69 and 4,738.18

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Solution

The fourth proportional to 8,274.64, 11,418.69 and 4,738.18 is: 6,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.64 : 11,418.69 = 4,738.18 : x
  2. Step 2: Convert to fraction form
    8,274.64/11,418.69 = 4,738.18/x
  3. Step 3: Cross multiply
    8,274.64x = 11,418.69 × 4,738.18
  4. Step 4: Simplify right side
    8,274.64x = 54,103,808.58
  5. Step 5: Solve for x
    x = 54,103,808.58/8,274.64
  6. Step 6: Final answer
    x = 6,538.51

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1.5x scale

Why These Related Problems?

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