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Finding the Fourth Proportional to 11,777.68, 16,246.44 and 7,354

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Solution

The fourth proportional to 11,777.68, 16,246.44 and 7,354 is: 10,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.68 : 16,246.44 = 7,354 : x
  2. Step 2: Convert to fraction form
    11,777.68/16,246.44 = 7,354/x
  3. Step 3: Cross multiply
    11,777.68x = 16,246.44 × 7,354
  4. Step 4: Simplify right side
    11,777.68x = 119,476,319.76
  5. Step 5: Solve for x
    x = 119,476,319.76/11,777.68
  6. Step 6: Final answer
    x = 10,144.30

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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.