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Finding the Fourth Proportional to 20,597.60, 30,891.54 and 5,807.90

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Solution

The fourth proportional to 20,597.60, 30,891.54 and 5,807.90 is: 8,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.60 : 30,891.54 = 5,807.90 : x
  2. Step 2: Convert to fraction form
    20,597.60/30,891.54 = 5,807.90/x
  3. Step 3: Cross multiply
    20,597.60x = 30,891.54 × 5,807.90
  4. Step 4: Simplify right side
    20,597.60x = 179,414,975.17
  5. Step 5: Solve for x
    x = 179,414,975.17/20,597.60
  6. Step 6: Final answer
    x = 8,710.48

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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.