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Finding the Fourth Proportional to 9,212.16, 12,686.88 and 9,183.36

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Solution

The fourth proportional to 9,212.16, 12,686.88 and 9,183.36 is: 12,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.16 : 12,686.88 = 9,183.36 : x
  2. Step 2: Convert to fraction form
    9,212.16/12,686.88 = 9,183.36/x
  3. Step 3: Cross multiply
    9,212.16x = 12,686.88 × 9,183.36
  4. Step 4: Simplify right side
    9,212.16x = 116,508,186.32
  5. Step 5: Solve for x
    x = 116,508,186.32/9,212.16
  6. Step 6: Final answer
    x = 12,647.22

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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.