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Finding the Fourth Proportional to 10,859.82, 14,984.46 and 6,143.19

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Solution

The fourth proportional to 10,859.82, 14,984.46 and 6,143.19 is: 8,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.82 : 14,984.46 = 6,143.19 : x
  2. Step 2: Convert to fraction form
    10,859.82/14,984.46 = 6,143.19/x
  3. Step 3: Cross multiply
    10,859.82x = 14,984.46 × 6,143.19
  4. Step 4: Simplify right side
    10,859.82x = 92,052,384.83
  5. Step 5: Solve for x
    x = 92,052,384.83/10,859.82
  6. Step 6: Final answer
    x = 8,476.42

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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.