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Finding the Fourth Proportional to 14,594.13, 20,138.76 and 8,220.38

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Solution

The fourth proportional to 14,594.13, 20,138.76 and 8,220.38 is: 11,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.13 : 20,138.76 = 8,220.38 : x
  2. Step 2: Convert to fraction form
    14,594.13/20,138.76 = 8,220.38/x
  3. Step 3: Cross multiply
    14,594.13x = 20,138.76 × 8,220.38
  4. Step 4: Simplify right side
    14,594.13x = 165,548,159.24
  5. Step 5: Solve for x
    x = 165,548,159.24/14,594.13
  6. Step 6: Final answer
    x = 11,343.48

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Half scale
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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.