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Finding the Fourth Proportional to 4,087.74, 6,131.62 and 1,009.74

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Solution

The fourth proportional to 4,087.74, 6,131.62 and 1,009.74 is: 1,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.74 : 6,131.62 = 1,009.74 : x
  2. Step 2: Convert to fraction form
    4,087.74/6,131.62 = 1,009.74/x
  3. Step 3: Cross multiply
    4,087.74x = 6,131.62 × 1,009.74
  4. Step 4: Simplify right side
    4,087.74x = 6,191,341.98
  5. Step 5: Solve for x
    x = 6,191,341.98/4,087.74
  6. Step 6: Final answer
    x = 1,514.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.