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Finding the Fourth Proportional to 2,713.75, 4,070.63 and 661.75

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Solution

The fourth proportional to 2,713.75, 4,070.63 and 661.75 is: 992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.75 : 4,070.63 = 661.75 : x
  2. Step 2: Convert to fraction form
    2,713.75/4,070.63 = 661.75/x
  3. Step 3: Cross multiply
    2,713.75x = 4,070.63 × 661.75
  4. Step 4: Simplify right side
    2,713.75x = 2,693,739.40
  5. Step 5: Solve for x
    x = 2,693,739.40/2,713.75
  6. Step 6: Final answer
    x = 992.63

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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.