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Finding the Fourth Proportional to 9,078.80, 12,524.64 and 5,719.28

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Solution

The fourth proportional to 9,078.80, 12,524.64 and 5,719.28 is: 7,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.80 : 12,524.64 = 5,719.28 : x
  2. Step 2: Convert to fraction form
    9,078.80/12,524.64 = 5,719.28/x
  3. Step 3: Cross multiply
    9,078.80x = 12,524.64 × 5,719.28
  4. Step 4: Simplify right side
    9,078.80x = 71,631,923.06
  5. Step 5: Solve for x
    x = 71,631,923.06/9,078.80
  6. Step 6: Final answer
    x = 7,890.02

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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.