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Finding the Fourth Proportional to 2,509.31, 3,761.06 and 948.32

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Solution

The fourth proportional to 2,509.31, 3,761.06 and 948.32 is: 1,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.31 : 3,761.06 = 948.32 : x
  2. Step 2: Convert to fraction form
    2,509.31/3,761.06 = 948.32/x
  3. Step 3: Cross multiply
    2,509.31x = 3,761.06 × 948.32
  4. Step 4: Simplify right side
    2,509.31x = 3,566,664.87
  5. Step 5: Solve for x
    x = 3,566,664.87/2,509.31
  6. Step 6: Final answer
    x = 1,421.38

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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.