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Finding the Fourth Proportional to 8,434.62, 12,650.63 and 2,886.69

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Solution

The fourth proportional to 8,434.62, 12,650.63 and 2,886.69 is: 4,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.62 : 12,650.63 = 2,886.69 : x
  2. Step 2: Convert to fraction form
    8,434.62/12,650.63 = 2,886.69/x
  3. Step 3: Cross multiply
    8,434.62x = 12,650.63 × 2,886.69
  4. Step 4: Simplify right side
    8,434.62x = 36,518,413.02
  5. Step 5: Solve for x
    x = 36,518,413.02/8,434.62
  6. Step 6: Final answer
    x = 4,329.59

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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.