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Finding the Fourth Proportional to 8,449.06, 11,661.15 and 4,913.41

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Solution

The fourth proportional to 8,449.06, 11,661.15 and 4,913.41 is: 6,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.06 : 11,661.15 = 4,913.41 : x
  2. Step 2: Convert to fraction form
    8,449.06/11,661.15 = 4,913.41/x
  3. Step 3: Cross multiply
    8,449.06x = 11,661.15 × 4,913.41
  4. Step 4: Simplify right side
    8,449.06x = 57,296,011.02
  5. Step 5: Solve for x
    x = 57,296,011.02/8,449.06
  6. Step 6: Final answer
    x = 6,781.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.