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Finding the Fourth Proportional to 19,715.12, 29,578.08 and 9,842.48

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Solution

The fourth proportional to 19,715.12, 29,578.08 and 9,842.48 is: 14,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.12 : 29,578.08 = 9,842.48 : x
  2. Step 2: Convert to fraction form
    19,715.12/29,578.08 = 9,842.48/x
  3. Step 3: Cross multiply
    19,715.12x = 29,578.08 × 9,842.48
  4. Step 4: Simplify right side
    19,715.12x = 291,121,660.84
  5. Step 5: Solve for x
    x = 291,121,660.84/19,715.12
  6. Step 6: Final answer
    x = 14,766.42

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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.