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Finding the Fourth Proportional to 2,509.95, 3,764.86 and 661.18

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Solution

The fourth proportional to 2,509.95, 3,764.86 and 661.18 is: 991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.95 : 3,764.86 = 661.18 : x
  2. Step 2: Convert to fraction form
    2,509.95/3,764.86 = 661.18/x
  3. Step 3: Cross multiply
    2,509.95x = 3,764.86 × 661.18
  4. Step 4: Simplify right side
    2,509.95x = 2,489,250.13
  5. Step 5: Solve for x
    x = 2,489,250.13/2,509.95
  6. Step 6: Final answer
    x = 991.75

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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.