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Finding the Fourth Proportional to 19,101.58, 28,640.88 and 8,569.66

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Solution

The fourth proportional to 19,101.58, 28,640.88 and 8,569.66 is: 12,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101.58 : 28,640.88 = 8,569.66 : x
  2. Step 2: Convert to fraction form
    19,101.58/28,640.88 = 8,569.66/x
  3. Step 3: Cross multiply
    19,101.58x = 28,640.88 × 8,569.66
  4. Step 4: Simplify right side
    19,101.58x = 245,442,603.70
  5. Step 5: Solve for x
    x = 245,442,603.70/19,101.58
  6. Step 6: Final answer
    x = 12,849.34

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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.