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Finding the Fourth Proportional to 3,111.32, 4,663.74 and 1,650.08

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Solution

The fourth proportional to 3,111.32, 4,663.74 and 1,650.08 is: 2,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.32 : 4,663.74 = 1,650.08 : x
  2. Step 2: Convert to fraction form
    3,111.32/4,663.74 = 1,650.08/x
  3. Step 3: Cross multiply
    3,111.32x = 4,663.74 × 1,650.08
  4. Step 4: Simplify right side
    3,111.32x = 7,695,544.10
  5. Step 5: Solve for x
    x = 7,695,544.10/3,111.32
  6. Step 6: Final answer
    x = 2,473.40

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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.