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Finding the Fourth Proportional to 2,797, 3,859.86 and 1,555.24

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Solution

The fourth proportional to 2,797, 3,859.86 and 1,555.24 is: 2,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797 : 3,859.86 = 1,555.24 : x
  2. Step 2: Convert to fraction form
    2,797/3,859.86 = 1,555.24/x
  3. Step 3: Cross multiply
    2,797x = 3,859.86 × 1,555.24
  4. Step 4: Simplify right side
    2,797x = 6,003,008.67
  5. Step 5: Solve for x
    x = 6,003,008.67/2,797
  6. Step 6: Final answer
    x = 2,146.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.