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Finding the Fourth Proportional to 21,777.48, 29,857.14 and 21,383.82

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Solution

The fourth proportional to 21,777.48, 29,857.14 and 21,383.82 is: 29,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.48 : 29,857.14 = 21,383.82 : x
  2. Step 2: Convert to fraction form
    21,777.48/29,857.14 = 21,383.82/x
  3. Step 3: Cross multiply
    21,777.48x = 29,857.14 × 21,383.82
  4. Step 4: Simplify right side
    21,777.48x = 638,459,707.47
  5. Step 5: Solve for x
    x = 638,459,707.47/21,777.48
  6. Step 6: Final answer
    x = 29,317.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.