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Finding the Fourth Proportional to 10,149.60, 13,993.61 and 6,558.47

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Solution

The fourth proportional to 10,149.60, 13,993.61 and 6,558.47 is: 9,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.60 : 13,993.61 = 6,558.47 : x
  2. Step 2: Convert to fraction form
    10,149.60/13,993.61 = 6,558.47/x
  3. Step 3: Cross multiply
    10,149.60x = 13,993.61 × 6,558.47
  4. Step 4: Simplify right side
    10,149.60x = 91,776,657.98
  5. Step 5: Solve for x
    x = 91,776,657.98/10,149.60
  6. Step 6: Final answer
    x = 9,042.39

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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.