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Finding the Fourth Proportional to 20,713.20, 31,077.90 and 7,566.90

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Solution

The fourth proportional to 20,713.20, 31,077.90 and 7,566.90 is: 11,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.20 : 31,077.90 = 7,566.90 : x
  2. Step 2: Convert to fraction form
    20,713.20/31,077.90 = 7,566.90/x
  3. Step 3: Cross multiply
    20,713.20x = 31,077.90 × 7,566.90
  4. Step 4: Simplify right side
    20,713.20x = 235,163,361.51
  5. Step 5: Solve for x
    x = 235,163,361.51/20,713.20
  6. Step 6: Final answer
    x = 11,353.31

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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.