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Finding the Fourth Proportional to 10,859.46, 14,986.38 and 6,143.64

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Solution

The fourth proportional to 10,859.46, 14,986.38 and 6,143.64 is: 8,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.46 : 14,986.38 = 6,143.64 : x
  2. Step 2: Convert to fraction form
    10,859.46/14,986.38 = 6,143.64/x
  3. Step 3: Cross multiply
    10,859.46x = 14,986.38 × 6,143.64
  4. Step 4: Simplify right side
    10,859.46x = 92,070,923.62
  5. Step 5: Solve for x
    x = 92,070,923.62/10,859.46
  6. Step 6: Final answer
    x = 8,478.41

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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.