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Finding the Fourth Proportional to 11,854, 17,778.30 and 4,459.24

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Solution

The fourth proportional to 11,854, 17,778.30 and 4,459.24 is: 6,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854 : 17,778.30 = 4,459.24 : x
  2. Step 2: Convert to fraction form
    11,854/17,778.30 = 4,459.24/x
  3. Step 3: Cross multiply
    11,854x = 17,778.30 × 4,459.24
  4. Step 4: Simplify right side
    11,854x = 79,277,706.49
  5. Step 5: Solve for x
    x = 79,277,706.49/11,854
  6. Step 6: Final answer
    x = 6,687.84

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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.