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Finding the Fourth Proportional to 21,707.76, 29,905.56 and 17,906.16

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Solution

The fourth proportional to 21,707.76, 29,905.56 and 17,906.16 is: 24,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.76 : 29,905.56 = 17,906.16 : x
  2. Step 2: Convert to fraction form
    21,707.76/29,905.56 = 17,906.16/x
  3. Step 3: Cross multiply
    21,707.76x = 29,905.56 × 17,906.16
  4. Step 4: Simplify right side
    21,707.76x = 535,493,742.25
  5. Step 5: Solve for x
    x = 535,493,742.25/21,707.76
  6. Step 6: Final answer
    x = 24,668.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.