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Finding the Fourth Proportional to 7,205.57, 10,808.81 and 2,275.40

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Solution

The fourth proportional to 7,205.57, 10,808.81 and 2,275.40 is: 3,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.57 : 10,808.81 = 2,275.40 : x
  2. Step 2: Convert to fraction form
    7,205.57/10,808.81 = 2,275.40/x
  3. Step 3: Cross multiply
    7,205.57x = 10,808.81 × 2,275.40
  4. Step 4: Simplify right side
    7,205.57x = 24,594,372.67
  5. Step 5: Solve for x
    x = 24,594,372.67/7,205.57
  6. Step 6: Final answer
    x = 3,413.25

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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.