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Finding the Fourth Proportional to 2,605.25, 3,906.65 and 1,509.93

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Solution

The fourth proportional to 2,605.25, 3,906.65 and 1,509.93 is: 2,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.25 : 3,906.65 = 1,509.93 : x
  2. Step 2: Convert to fraction form
    2,605.25/3,906.65 = 1,509.93/x
  3. Step 3: Cross multiply
    2,605.25x = 3,906.65 × 1,509.93
  4. Step 4: Simplify right side
    2,605.25x = 5,898,760.48
  5. Step 5: Solve for x
    x = 5,898,760.48/2,605.25
  6. Step 6: Final answer
    x = 2,264.19

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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.