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Finding the Fourth Proportional to 8,458, 11,664.88 and 5,100.08

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Solution

The fourth proportional to 8,458, 11,664.88 and 5,100.08 is: 7,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458 : 11,664.88 = 5,100.08 : x
  2. Step 2: Convert to fraction form
    8,458/11,664.88 = 5,100.08/x
  3. Step 3: Cross multiply
    8,458x = 11,664.88 × 5,100.08
  4. Step 4: Simplify right side
    8,458x = 59,491,821.19
  5. Step 5: Solve for x
    x = 59,491,821.19/8,458
  6. Step 6: Final answer
    x = 7,033.79

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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.