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Finding the Fourth Proportional to 20,991.21, 28,964.16 and 17,005.47

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Solution

The fourth proportional to 20,991.21, 28,964.16 and 17,005.47 is: 23,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.21 : 28,964.16 = 17,005.47 : x
  2. Step 2: Convert to fraction form
    20,991.21/28,964.16 = 17,005.47/x
  3. Step 3: Cross multiply
    20,991.21x = 28,964.16 × 17,005.47
  4. Step 4: Simplify right side
    20,991.21x = 492,549,153.96
  5. Step 5: Solve for x
    x = 492,549,153.96/20,991.21
  6. Step 6: Final answer
    x = 23,464.54

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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.