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Finding the Fourth Proportional to 12,686.56, 17,511.24 and 8,210.20

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Solution

The fourth proportional to 12,686.56, 17,511.24 and 8,210.20 is: 11,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.56 : 17,511.24 = 8,210.20 : x
  2. Step 2: Convert to fraction form
    12,686.56/17,511.24 = 8,210.20/x
  3. Step 3: Cross multiply
    12,686.56x = 17,511.24 × 8,210.20
  4. Step 4: Simplify right side
    12,686.56x = 143,770,782.65
  5. Step 5: Solve for x
    x = 143,770,782.65/12,686.56
  6. Step 6: Final answer
    x = 11,332.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.