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Finding the Fourth Proportional to 1,997.86, 2,988.76 and 1,726.86

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Solution

The fourth proportional to 1,997.86, 2,988.76 and 1,726.86 is: 2,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.86 : 2,988.76 = 1,726.86 : x
  2. Step 2: Convert to fraction form
    1,997.86/2,988.76 = 1,726.86/x
  3. Step 3: Cross multiply
    1,997.86x = 2,988.76 × 1,726.86
  4. Step 4: Simplify right side
    1,997.86x = 5,161,170.09
  5. Step 5: Solve for x
    x = 5,161,170.09/1,997.86
  6. Step 6: Final answer
    x = 2,583.35

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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.