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Finding the Fourth Proportional to 2,509.78, 3,764.37 and 661.04

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Solution

The fourth proportional to 2,509.78, 3,764.37 and 661.04 is: 991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.78 : 3,764.37 = 661.04 : x
  2. Step 2: Convert to fraction form
    2,509.78/3,764.37 = 661.04/x
  3. Step 3: Cross multiply
    2,509.78x = 3,764.37 × 661.04
  4. Step 4: Simplify right side
    2,509.78x = 2,488,380.32
  5. Step 5: Solve for x
    x = 2,488,380.32/2,509.78
  6. Step 6: Final answer
    x = 991.47

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1.5x scale

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.