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Finding the Fourth Proportional to 19,807, 29,717.12 and 6,480.60

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Solution

The fourth proportional to 19,807, 29,717.12 and 6,480.60 is: 9,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807 : 29,717.12 = 6,480.60 : x
  2. Step 2: Convert to fraction form
    19,807/29,717.12 = 6,480.60/x
  3. Step 3: Cross multiply
    19,807x = 29,717.12 × 6,480.60
  4. Step 4: Simplify right side
    19,807x = 192,584,767.87
  5. Step 5: Solve for x
    x = 192,584,767.87/19,807
  6. Step 6: Final answer
    x = 9,723.07

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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.