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Finding the Fourth Proportional to 10,853.68, 14,978.38 and 6,138.68

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Solution

The fourth proportional to 10,853.68, 14,978.38 and 6,138.68 is: 8,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.68 : 14,978.38 = 6,138.68 : x
  2. Step 2: Convert to fraction form
    10,853.68/14,978.38 = 6,138.68/x
  3. Step 3: Cross multiply
    10,853.68x = 14,978.38 × 6,138.68
  4. Step 4: Simplify right side
    10,853.68x = 91,947,481.74
  5. Step 5: Solve for x
    x = 91,947,481.74/10,853.68
  6. Step 6: Final answer
    x = 8,471.55

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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.