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Finding the Fourth Proportional to 18,030, 27,026.40 and 7,506.12

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Solution

The fourth proportional to 18,030, 27,026.40 and 7,506.12 is: 11,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,030 : 27,026.40 = 7,506.12 : x
  2. Step 2: Convert to fraction form
    18,030/27,026.40 = 7,506.12/x
  3. Step 3: Cross multiply
    18,030x = 27,026.40 × 7,506.12
  4. Step 4: Simplify right side
    18,030x = 202,863,401.57
  5. Step 5: Solve for x
    x = 202,863,401.57/18,030
  6. Step 6: Final answer
    x = 11,251.44

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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.