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Finding the Fourth Proportional to 20,407.61, 30,599.92 and 7,074.35

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Solution

The fourth proportional to 20,407.61, 30,599.92 and 7,074.35 is: 10,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.61 : 30,599.92 = 7,074.35 : x
  2. Step 2: Convert to fraction form
    20,407.61/30,599.92 = 7,074.35/x
  3. Step 3: Cross multiply
    20,407.61x = 30,599.92 × 7,074.35
  4. Step 4: Simplify right side
    20,407.61x = 216,474,544.05
  5. Step 5: Solve for x
    x = 216,474,544.05/20,407.61
  6. Step 6: Final answer
    x = 10,607.54

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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.