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Finding the Fourth Proportional to 11,375.90, 15,698.58 and 6,340.31

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Solution

The fourth proportional to 11,375.90, 15,698.58 and 6,340.31 is: 8,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.90 : 15,698.58 = 6,340.31 : x
  2. Step 2: Convert to fraction form
    11,375.90/15,698.58 = 6,340.31/x
  3. Step 3: Cross multiply
    11,375.90x = 15,698.58 × 6,340.31
  4. Step 4: Simplify right side
    11,375.90x = 99,533,863.76
  5. Step 5: Solve for x
    x = 99,533,863.76/11,375.90
  6. Step 6: Final answer
    x = 8,749.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.