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Finding the Fourth Proportional to 14,574.13, 20,111.90 and 8,201.45

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Solution

The fourth proportional to 14,574.13, 20,111.90 and 8,201.45 is: 11,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.13 : 20,111.90 = 8,201.45 : x
  2. Step 2: Convert to fraction form
    14,574.13/20,111.90 = 8,201.45/x
  3. Step 3: Cross multiply
    14,574.13x = 20,111.90 × 8,201.45
  4. Step 4: Simplify right side
    14,574.13x = 164,946,751.53
  5. Step 5: Solve for x
    x = 164,946,751.53/14,574.13
  6. Step 6: Final answer
    x = 11,317.78

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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.