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Finding the Fourth Proportional to 9,216, 12,719.04 and 5,679.12

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Solution

The fourth proportional to 9,216, 12,719.04 and 5,679.12 is: 7,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 12,719.04 = 5,679.12 : x
  2. Step 2: Convert to fraction form
    9,216/12,719.04 = 5,679.12/x
  3. Step 3: Cross multiply
    9,216x = 12,719.04 × 5,679.12
  4. Step 4: Simplify right side
    9,216x = 72,232,954.44
  5. Step 5: Solve for x
    x = 72,232,954.44/9,216
  6. Step 6: Final answer
    x = 7,837.78

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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.