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Finding the Fourth Proportional to 7,687.08, 10,608 and 4,284.06

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Solution

The fourth proportional to 7,687.08, 10,608 and 4,284.06 is: 5,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.08 : 10,608 = 4,284.06 : x
  2. Step 2: Convert to fraction form
    7,687.08/10,608 = 4,284.06/x
  3. Step 3: Cross multiply
    7,687.08x = 10,608 × 4,284.06
  4. Step 4: Simplify right side
    7,687.08x = 45,445,308.48
  5. Step 5: Solve for x
    x = 45,445,308.48/7,687.08
  6. Step 6: Final answer
    x = 5,911.91

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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.