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Finding the Fourth Proportional to 2,657.43, 3,986.03 and 709.63

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Solution

The fourth proportional to 2,657.43, 3,986.03 and 709.63 is: 1,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.43 : 3,986.03 = 709.63 : x
  2. Step 2: Convert to fraction form
    2,657.43/3,986.03 = 709.63/x
  3. Step 3: Cross multiply
    2,657.43x = 3,986.03 × 709.63
  4. Step 4: Simplify right side
    2,657.43x = 2,828,606.47
  5. Step 5: Solve for x
    x = 2,828,606.47/2,657.43
  6. Step 6: Final answer
    x = 1,064.41

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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.