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Finding the Fourth Proportional to 9,338.44, 12,887 and 5,146.68

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Solution

The fourth proportional to 9,338.44, 12,887 and 5,146.68 is: 7,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.44 : 12,887 = 5,146.68 : x
  2. Step 2: Convert to fraction form
    9,338.44/12,887 = 5,146.68/x
  3. Step 3: Cross multiply
    9,338.44x = 12,887 × 5,146.68
  4. Step 4: Simplify right side
    9,338.44x = 66,325,265.16
  5. Step 5: Solve for x
    x = 66,325,265.16/9,338.44
  6. Step 6: Final answer
    x = 7,102.39

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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.