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Finding the Fourth Proportional to 20,710.53, 31,079.16 and 7,561.80

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Solution

The fourth proportional to 20,710.53, 31,079.16 and 7,561.80 is: 11,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.53 : 31,079.16 = 7,561.80 : x
  2. Step 2: Convert to fraction form
    20,710.53/31,079.16 = 7,561.80/x
  3. Step 3: Cross multiply
    20,710.53x = 31,079.16 × 7,561.80
  4. Step 4: Simplify right side
    20,710.53x = 235,014,392.09
  5. Step 5: Solve for x
    x = 235,014,392.09/20,710.53
  6. Step 6: Final answer
    x = 11,347.58

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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.