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Finding the Fourth Proportional to 10,173.39, 15,201.74 and 7,755.74

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Solution

The fourth proportional to 10,173.39, 15,201.74 and 7,755.74 is: 11,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.39 : 15,201.74 = 7,755.74 : x
  2. Step 2: Convert to fraction form
    10,173.39/15,201.74 = 7,755.74/x
  3. Step 3: Cross multiply
    10,173.39x = 15,201.74 × 7,755.74
  4. Step 4: Simplify right side
    10,173.39x = 117,900,743.37
  5. Step 5: Solve for x
    x = 117,900,743.37/10,173.39
  6. Step 6: Final answer
    x = 11,589.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.