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Finding the Fourth Proportional to 21,471, 29,605.02 and 20,142.60

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Solution

The fourth proportional to 21,471, 29,605.02 and 20,142.60 is: 27,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471 : 29,605.02 = 20,142.60 : x
  2. Step 2: Convert to fraction form
    21,471/29,605.02 = 20,142.60/x
  3. Step 3: Cross multiply
    21,471x = 29,605.02 × 20,142.60
  4. Step 4: Simplify right side
    21,471x = 596,322,075.85
  5. Step 5: Solve for x
    x = 596,322,075.85/21,471
  6. Step 6: Final answer
    x = 27,773.37

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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.