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Finding the Fourth Proportional to 9,486.36, 14,218.44 and 7,138.83

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Solution

The fourth proportional to 9,486.36, 14,218.44 and 7,138.83 is: 10,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.36 : 14,218.44 = 7,138.83 : x
  2. Step 2: Convert to fraction form
    9,486.36/14,218.44 = 7,138.83/x
  3. Step 3: Cross multiply
    9,486.36x = 14,218.44 × 7,138.83
  4. Step 4: Simplify right side
    9,486.36x = 101,503,026.03
  5. Step 5: Solve for x
    x = 101,503,026.03/9,486.36
  6. Step 6: Final answer
    x = 10,699.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.