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Finding the Fourth Proportional to 12,944.66, 17,861.95 and 7,278.50

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Solution

The fourth proportional to 12,944.66, 17,861.95 and 7,278.50 is: 10,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.66 : 17,861.95 = 7,278.50 : x
  2. Step 2: Convert to fraction form
    12,944.66/17,861.95 = 7,278.50/x
  3. Step 3: Cross multiply
    12,944.66x = 17,861.95 × 7,278.50
  4. Step 4: Simplify right side
    12,944.66x = 130,008,203.08
  5. Step 5: Solve for x
    x = 130,008,203.08/12,944.66
  6. Step 6: Final answer
    x = 10,043.39

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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.