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Finding the Fourth Proportional to 8,260, 11,399.52 and 4,534.72

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Solution

The fourth proportional to 8,260, 11,399.52 and 4,534.72 is: 6,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260 : 11,399.52 = 4,534.72 : x
  2. Step 2: Convert to fraction form
    8,260/11,399.52 = 4,534.72/x
  3. Step 3: Cross multiply
    8,260x = 11,399.52 × 4,534.72
  4. Step 4: Simplify right side
    8,260x = 51,693,631.33
  5. Step 5: Solve for x
    x = 51,693,631.33/8,260
  6. Step 6: Final answer
    x = 6,258.31

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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.