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Finding the Fourth Proportional to 19,797.12, 29,691 and 5,753.40

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Solution

The fourth proportional to 19,797.12, 29,691 and 5,753.40 is: 8,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.12 : 29,691 = 5,753.40 : x
  2. Step 2: Convert to fraction form
    19,797.12/29,691 = 5,753.40/x
  3. Step 3: Cross multiply
    19,797.12x = 29,691 × 5,753.40
  4. Step 4: Simplify right side
    19,797.12x = 170,824,199.40
  5. Step 5: Solve for x
    x = 170,824,199.40/19,797.12
  6. Step 6: Final answer
    x = 8,628.74

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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.