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Finding the Fourth Proportional to 19,821.60, 29,729.16 and 7,347.42

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Solution

The fourth proportional to 19,821.60, 29,729.16 and 7,347.42 is: 11,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.60 : 29,729.16 = 7,347.42 : x
  2. Step 2: Convert to fraction form
    19,821.60/29,729.16 = 7,347.42/x
  3. Step 3: Cross multiply
    19,821.60x = 29,729.16 × 7,347.42
  4. Step 4: Simplify right side
    19,821.60x = 218,432,624.77
  5. Step 5: Solve for x
    x = 218,432,624.77/19,821.60
  6. Step 6: Final answer
    x = 11,019.93

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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.