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Finding the Fourth Proportional to 8,447.01, 12,666.20 and 4,943.86

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Solution

The fourth proportional to 8,447.01, 12,666.20 and 4,943.86 is: 7,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.01 : 12,666.20 = 4,943.86 : x
  2. Step 2: Convert to fraction form
    8,447.01/12,666.20 = 4,943.86/x
  3. Step 3: Cross multiply
    8,447.01x = 12,666.20 × 4,943.86
  4. Step 4: Simplify right side
    8,447.01x = 62,619,900.23
  5. Step 5: Solve for x
    x = 62,619,900.23/8,447.01
  6. Step 6: Final answer
    x = 7,413.26

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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.