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Finding the Fourth Proportional to 9,078.57, 13,605.08 and 7,221.42

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Solution

The fourth proportional to 9,078.57, 13,605.08 and 7,221.42 is: 10,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.57 : 13,605.08 = 7,221.42 : x
  2. Step 2: Convert to fraction form
    9,078.57/13,605.08 = 7,221.42/x
  3. Step 3: Cross multiply
    9,078.57x = 13,605.08 × 7,221.42
  4. Step 4: Simplify right side
    9,078.57x = 98,247,960.71
  5. Step 5: Solve for x
    x = 98,247,960.71/9,078.57
  6. Step 6: Final answer
    x = 10,821.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.