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Finding the Fourth Proportional to 8,657.87, 12,983.57 and 6,830.51

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Solution

The fourth proportional to 8,657.87, 12,983.57 and 6,830.51 is: 10,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.87 : 12,983.57 = 6,830.51 : x
  2. Step 2: Convert to fraction form
    8,657.87/12,983.57 = 6,830.51/x
  3. Step 3: Cross multiply
    8,657.87x = 12,983.57 × 6,830.51
  4. Step 4: Simplify right side
    8,657.87x = 88,684,370.57
  5. Step 5: Solve for x
    x = 88,684,370.57/8,657.87
  6. Step 6: Final answer
    x = 10,243.21

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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.