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Finding the Fourth Proportional to 8,569.82, 12,825.50 and 7,184.72

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Solution

The fourth proportional to 8,569.82, 12,825.50 and 7,184.72 is: 10,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.82 : 12,825.50 = 7,184.72 : x
  2. Step 2: Convert to fraction form
    8,569.82/12,825.50 = 7,184.72/x
  3. Step 3: Cross multiply
    8,569.82x = 12,825.50 × 7,184.72
  4. Step 4: Simplify right side
    8,569.82x = 92,147,626.36
  5. Step 5: Solve for x
    x = 92,147,626.36/8,569.82
  6. Step 6: Final answer
    x = 10,752.57

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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.