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Finding the Fourth Proportional to 8,566.54, 12,841.29 and 3,890

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Solution

The fourth proportional to 8,566.54, 12,841.29 and 3,890 is: 5,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.54 : 12,841.29 = 3,890 : x
  2. Step 2: Convert to fraction form
    8,566.54/12,841.29 = 3,890/x
  3. Step 3: Cross multiply
    8,566.54x = 12,841.29 × 3,890
  4. Step 4: Simplify right side
    8,566.54x = 49,952,618.10
  5. Step 5: Solve for x
    x = 49,952,618.10/8,566.54
  6. Step 6: Final answer
    x = 5,831.13

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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.