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Finding the Fourth Proportional to 21,157.70, 31,739.31 and 7,111.71

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Solution

The fourth proportional to 21,157.70, 31,739.31 and 7,111.71 is: 10,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.70 : 31,739.31 = 7,111.71 : x
  2. Step 2: Convert to fraction form
    21,157.70/31,739.31 = 7,111.71/x
  3. Step 3: Cross multiply
    21,157.70x = 31,739.31 × 7,111.71
  4. Step 4: Simplify right side
    21,157.70x = 225,720,768.32
  5. Step 5: Solve for x
    x = 225,720,768.32/21,157.70
  6. Step 6: Final answer
    x = 10,668.50

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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.