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Finding the Fourth Proportional to 20,291.64, 27,986.64 and 13,024.44

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Solution

The fourth proportional to 20,291.64, 27,986.64 and 13,024.44 is: 17,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.64 : 27,986.64 = 13,024.44 : x
  2. Step 2: Convert to fraction form
    20,291.64/27,986.64 = 13,024.44/x
  3. Step 3: Cross multiply
    20,291.64x = 27,986.64 × 13,024.44
  4. Step 4: Simplify right side
    20,291.64x = 364,510,313.48
  5. Step 5: Solve for x
    x = 364,510,313.48/20,291.64
  6. Step 6: Final answer
    x = 17,963.57

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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.