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Finding the Fourth Proportional to 19,805.55, 29,708 and 4,812.79

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Solution

The fourth proportional to 19,805.55, 29,708 and 4,812.79 is: 7,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.55 : 29,708 = 4,812.79 : x
  2. Step 2: Convert to fraction form
    19,805.55/29,708 = 4,812.79/x
  3. Step 3: Cross multiply
    19,805.55x = 29,708 × 4,812.79
  4. Step 4: Simplify right side
    19,805.55x = 142,978,216.78
  5. Step 5: Solve for x
    x = 142,978,216.78/19,805.55
  6. Step 6: Final answer
    x = 7,219.10

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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.