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Finding the Fourth Proportional to 10,855.25, 14,980.25 and 6,139.43

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Solution

The fourth proportional to 10,855.25, 14,980.25 and 6,139.43 is: 8,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.25 : 14,980.25 = 6,139.43 : x
  2. Step 2: Convert to fraction form
    10,855.25/14,980.25 = 6,139.43/x
  3. Step 3: Cross multiply
    10,855.25x = 14,980.25 × 6,139.43
  4. Step 4: Simplify right side
    10,855.25x = 91,970,165.56
  5. Step 5: Solve for x
    x = 91,970,165.56/10,855.25
  6. Step 6: Final answer
    x = 8,472.41

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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.