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Finding the Fourth Proportional to 9,216.14, 12,719.28 and 5,238.22

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Solution

The fourth proportional to 9,216.14, 12,719.28 and 5,238.22 is: 7,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.14 : 12,719.28 = 5,238.22 : x
  2. Step 2: Convert to fraction form
    9,216.14/12,719.28 = 5,238.22/x
  3. Step 3: Cross multiply
    9,216.14x = 12,719.28 × 5,238.22
  4. Step 4: Simplify right side
    9,216.14x = 66,626,386.88
  5. Step 5: Solve for x
    x = 66,626,386.88/9,216.14
  6. Step 6: Final answer
    x = 7,229.32

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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.