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Finding the Fourth Proportional to 8,583.86, 12,897.39 and 5,465.27

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Solution

The fourth proportional to 8,583.86, 12,897.39 and 5,465.27 is: 8,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.86 : 12,897.39 = 5,465.27 : x
  2. Step 2: Convert to fraction form
    8,583.86/12,897.39 = 5,465.27/x
  3. Step 3: Cross multiply
    8,583.86x = 12,897.39 × 5,465.27
  4. Step 4: Simplify right side
    8,583.86x = 70,487,718.65
  5. Step 5: Solve for x
    x = 70,487,718.65/8,583.86
  6. Step 6: Final answer
    x = 8,211.66

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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.