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Finding the Fourth Proportional to 21,129, 31,693.96 and 7,987.56

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Solution

The fourth proportional to 21,129, 31,693.96 and 7,987.56 is: 11,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129 : 31,693.96 = 7,987.56 : x
  2. Step 2: Convert to fraction form
    21,129/31,693.96 = 7,987.56/x
  3. Step 3: Cross multiply
    21,129x = 31,693.96 × 7,987.56
  4. Step 4: Simplify right side
    21,129x = 253,157,407.14
  5. Step 5: Solve for x
    x = 253,157,407.14/21,129
  6. Step 6: Final answer
    x = 11,981.51

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Double scale
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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.