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Finding the Fourth Proportional to 11,897.80, 17,854.92 and 4,106.64

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Solution

The fourth proportional to 11,897.80, 17,854.92 and 4,106.64 is: 6,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.80 : 17,854.92 = 4,106.64 : x
  2. Step 2: Convert to fraction form
    11,897.80/17,854.92 = 4,106.64/x
  3. Step 3: Cross multiply
    11,897.80x = 17,854.92 × 4,106.64
  4. Step 4: Simplify right side
    11,897.80x = 73,323,728.67
  5. Step 5: Solve for x
    x = 73,323,728.67/11,897.80
  6. Step 6: Final answer
    x = 6,162.80

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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.