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Finding the Fourth Proportional to 11,561.40, 17,342.10 and 4,166.10

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Solution

The fourth proportional to 11,561.40, 17,342.10 and 4,166.10 is: 6,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.40 : 17,342.10 = 4,166.10 : x
  2. Step 2: Convert to fraction form
    11,561.40/17,342.10 = 4,166.10/x
  3. Step 3: Cross multiply
    11,561.40x = 17,342.10 × 4,166.10
  4. Step 4: Simplify right side
    11,561.40x = 72,248,922.81
  5. Step 5: Solve for x
    x = 72,248,922.81/11,561.40
  6. Step 6: Final answer
    x = 6,249.15

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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.