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Finding the Fourth Proportional to 8,515.71, 12,774.16 and 2,275.69

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Solution

The fourth proportional to 8,515.71, 12,774.16 and 2,275.69 is: 3,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.71 : 12,774.16 = 2,275.69 : x
  2. Step 2: Convert to fraction form
    8,515.71/12,774.16 = 2,275.69/x
  3. Step 3: Cross multiply
    8,515.71x = 12,774.16 × 2,275.69
  4. Step 4: Simplify right side
    8,515.71x = 29,070,028.17
  5. Step 5: Solve for x
    x = 29,070,028.17/8,515.71
  6. Step 6: Final answer
    x = 3,413.69

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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.