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Finding the Fourth Proportional to 13,730.63, 20,602.07 and 6,331.11

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Solution

The fourth proportional to 13,730.63, 20,602.07 and 6,331.11 is: 9,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.63 : 20,602.07 = 6,331.11 : x
  2. Step 2: Convert to fraction form
    13,730.63/20,602.07 = 6,331.11/x
  3. Step 3: Cross multiply
    13,730.63x = 20,602.07 × 6,331.11
  4. Step 4: Simplify right side
    13,730.63x = 130,433,939.74
  5. Step 5: Solve for x
    x = 130,433,939.74/13,730.63
  6. Step 6: Final answer
    x = 9,499.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.