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Finding the Fourth Proportional to 20,161.76, 30,254.78 and 7,023.35

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Solution

The fourth proportional to 20,161.76, 30,254.78 and 7,023.35 is: 10,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.76 : 30,254.78 = 7,023.35 : x
  2. Step 2: Convert to fraction form
    20,161.76/30,254.78 = 7,023.35/x
  3. Step 3: Cross multiply
    20,161.76x = 30,254.78 × 7,023.35
  4. Step 4: Simplify right side
    20,161.76x = 212,490,002.31
  5. Step 5: Solve for x
    x = 212,490,002.31/20,161.76
  6. Step 6: Final answer
    x = 10,539.26

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1.5x scale

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.