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Finding the Fourth Proportional to 19,808, 29,708.40 and 7,326.08

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Solution

The fourth proportional to 19,808, 29,708.40 and 7,326.08 is: 10,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808 : 29,708.40 = 7,326.08 : x
  2. Step 2: Convert to fraction form
    19,808/29,708.40 = 7,326.08/x
  3. Step 3: Cross multiply
    19,808x = 29,708.40 × 7,326.08
  4. Step 4: Simplify right side
    19,808x = 217,646,115.07
  5. Step 5: Solve for x
    x = 217,646,115.07/19,808
  6. Step 6: Final answer
    x = 10,987.79

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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.