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Finding the Fourth Proportional to 3,605.77, 5,409.56 and 1,008.70

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Solution

The fourth proportional to 3,605.77, 5,409.56 and 1,008.70 is: 1,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.77 : 5,409.56 = 1,008.70 : x
  2. Step 2: Convert to fraction form
    3,605.77/5,409.56 = 1,008.70/x
  3. Step 3: Cross multiply
    3,605.77x = 5,409.56 × 1,008.70
  4. Step 4: Simplify right side
    3,605.77x = 5,456,639.76
  5. Step 5: Solve for x
    x = 5,456,639.76/3,605.77
  6. Step 6: Final answer
    x = 1,513.31

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Why These Related Problems?

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