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Finding the Fourth Proportional to 19,842.94, 29,771.28 and 13,206.07

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Solution

The fourth proportional to 19,842.94, 29,771.28 and 13,206.07 is: 19,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.94 : 29,771.28 = 13,206.07 : x
  2. Step 2: Convert to fraction form
    19,842.94/29,771.28 = 13,206.07/x
  3. Step 3: Cross multiply
    19,842.94x = 29,771.28 × 13,206.07
  4. Step 4: Simplify right side
    19,842.94x = 393,161,607.67
  5. Step 5: Solve for x
    x = 393,161,607.67/19,842.94
  6. Step 6: Final answer
    x = 19,813.68

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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.