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Finding the Fourth Proportional to 8,140.66, 11,243.34 and 5,483.46

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Solution

The fourth proportional to 8,140.66, 11,243.34 and 5,483.46 is: 7,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.66 : 11,243.34 = 5,483.46 : x
  2. Step 2: Convert to fraction form
    8,140.66/11,243.34 = 5,483.46/x
  3. Step 3: Cross multiply
    8,140.66x = 11,243.34 × 5,483.46
  4. Step 4: Simplify right side
    8,140.66x = 61,652,405.16
  5. Step 5: Solve for x
    x = 61,652,405.16/8,140.66
  6. Step 6: Final answer
    x = 7,573.39

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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.