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Finding the Fourth Proportional to 19,902.88, 29,780.68 and 12,009.96

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Solution

The fourth proportional to 19,902.88, 29,780.68 and 12,009.96 is: 17,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.88 : 29,780.68 = 12,009.96 : x
  2. Step 2: Convert to fraction form
    19,902.88/29,780.68 = 12,009.96/x
  3. Step 3: Cross multiply
    19,902.88x = 29,780.68 × 12,009.96
  4. Step 4: Simplify right side
    19,902.88x = 357,664,775.57
  5. Step 5: Solve for x
    x = 357,664,775.57/19,902.88
  6. Step 6: Final answer
    x = 17,970.50

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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.