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Finding the Fourth Proportional to 19,809.23, 29,712.35 and 7,323.42

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Solution

The fourth proportional to 19,809.23, 29,712.35 and 7,323.42 is: 10,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.23 : 29,712.35 = 7,323.42 : x
  2. Step 2: Convert to fraction form
    19,809.23/29,712.35 = 7,323.42/x
  3. Step 3: Cross multiply
    19,809.23x = 29,712.35 × 7,323.42
  4. Step 4: Simplify right side
    19,809.23x = 217,596,036.55
  5. Step 5: Solve for x
    x = 217,596,036.55/19,809.23
  6. Step 6: Final answer
    x = 10,984.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.