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Finding the Fourth Proportional to 13,690.64, 18,865.20 and 9,443

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Solution

The fourth proportional to 13,690.64, 18,865.20 and 9,443 is: 13,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.64 : 18,865.20 = 9,443 : x
  2. Step 2: Convert to fraction form
    13,690.64/18,865.20 = 9,443/x
  3. Step 3: Cross multiply
    13,690.64x = 18,865.20 × 9,443
  4. Step 4: Simplify right side
    13,690.64x = 178,144,083.60
  5. Step 5: Solve for x
    x = 178,144,083.60/13,690.64
  6. Step 6: Final answer
    x = 13,012.11

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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.