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Finding the Fourth Proportional to 19,807.50, 29,690.78 and 6,655.44

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Solution

The fourth proportional to 19,807.50, 29,690.78 and 6,655.44 is: 9,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.50 : 29,690.78 = 6,655.44 : x
  2. Step 2: Convert to fraction form
    19,807.50/29,690.78 = 6,655.44/x
  3. Step 3: Cross multiply
    19,807.50x = 29,690.78 × 6,655.44
  4. Step 4: Simplify right side
    19,807.50x = 197,605,171.57
  5. Step 5: Solve for x
    x = 197,605,171.57/19,807.50
  6. Step 6: Final answer
    x = 9,976.28

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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.