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Finding the Fourth Proportional to 19,891.19, 29,835.20 and 11,565.89

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Solution

The fourth proportional to 19,891.19, 29,835.20 and 11,565.89 is: 17,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.19 : 29,835.20 = 11,565.89 : x
  2. Step 2: Convert to fraction form
    19,891.19/29,835.20 = 11,565.89/x
  3. Step 3: Cross multiply
    19,891.19x = 29,835.20 × 11,565.89
  4. Step 4: Simplify right side
    19,891.19x = 345,070,434.32
  5. Step 5: Solve for x
    x = 345,070,434.32/19,891.19
  6. Step 6: Final answer
    x = 17,347.91

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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.