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Finding the Fourth Proportional to 8,468, 11,686.20 and 4,930.64

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Solution

The fourth proportional to 8,468, 11,686.20 and 4,930.64 is: 6,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468 : 11,686.20 = 4,930.64 : x
  2. Step 2: Convert to fraction form
    8,468/11,686.20 = 4,930.64/x
  3. Step 3: Cross multiply
    8,468x = 11,686.20 × 4,930.64
  4. Step 4: Simplify right side
    8,468x = 57,620,445.17
  5. Step 5: Solve for x
    x = 57,620,445.17/8,468
  6. Step 6: Final answer
    x = 6,804.49

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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.