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Finding the Fourth Proportional to 18,701.36, 28,044.08 and 8,306

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Solution

The fourth proportional to 18,701.36, 28,044.08 and 8,306 is: 12,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,701.36 : 28,044.08 = 8,306 : x
  2. Step 2: Convert to fraction form
    18,701.36/28,044.08 = 8,306/x
  3. Step 3: Cross multiply
    18,701.36x = 28,044.08 × 8,306
  4. Step 4: Simplify right side
    18,701.36x = 232,934,128.48
  5. Step 5: Solve for x
    x = 232,934,128.48/18,701.36
  6. Step 6: Final answer
    x = 12,455.46

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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.