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Finding the Fourth Proportional to 19,784.49, 29,667.15 and 7,310.39

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Solution

The fourth proportional to 19,784.49, 29,667.15 and 7,310.39 is: 10,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.49 : 29,667.15 = 7,310.39 : x
  2. Step 2: Convert to fraction form
    19,784.49/29,667.15 = 7,310.39/x
  3. Step 3: Cross multiply
    19,784.49x = 29,667.15 × 7,310.39
  4. Step 4: Simplify right side
    19,784.49x = 216,878,288.35
  5. Step 5: Solve for x
    x = 216,878,288.35/19,784.49
  6. Step 6: Final answer
    x = 10,962.04

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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.