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Finding the Fourth Proportional to 14,490, 19,996.20 and 8,202.38

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Solution

The fourth proportional to 14,490, 19,996.20 and 8,202.38 is: 11,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490 : 19,996.20 = 8,202.38 : x
  2. Step 2: Convert to fraction form
    14,490/19,996.20 = 8,202.38/x
  3. Step 3: Cross multiply
    14,490x = 19,996.20 × 8,202.38
  4. Step 4: Simplify right side
    14,490x = 164,016,330.98
  5. Step 5: Solve for x
    x = 164,016,330.98/14,490
  6. Step 6: Final answer
    x = 11,319.28

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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.