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Finding the Fourth Proportional to 10,640.63, 14,686.65 and 6,163.66

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Solution

The fourth proportional to 10,640.63, 14,686.65 and 6,163.66 is: 8,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.63 : 14,686.65 = 6,163.66 : x
  2. Step 2: Convert to fraction form
    10,640.63/14,686.65 = 6,163.66/x
  3. Step 3: Cross multiply
    10,640.63x = 14,686.65 × 6,163.66
  4. Step 4: Simplify right side
    10,640.63x = 90,523,517.14
  5. Step 5: Solve for x
    x = 90,523,517.14/10,640.63
  6. Step 6: Final answer
    x = 8,507.35

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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.