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Finding the Fourth Proportional to 19,891.95, 29,842.56 and 7,412.01

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Solution

The fourth proportional to 19,891.95, 29,842.56 and 7,412.01 is: 11,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.95 : 29,842.56 = 7,412.01 : x
  2. Step 2: Convert to fraction form
    19,891.95/29,842.56 = 7,412.01/x
  3. Step 3: Cross multiply
    19,891.95x = 29,842.56 × 7,412.01
  4. Step 4: Simplify right side
    19,891.95x = 221,193,353.15
  5. Step 5: Solve for x
    x = 221,193,353.15/19,891.95
  6. Step 6: Final answer
    x = 11,119.74

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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.