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Finding the Fourth Proportional to 1,992.95, 2,983.24 and 1,697.70

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Solution

The fourth proportional to 1,992.95, 2,983.24 and 1,697.70 is: 2,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.95 : 2,983.24 = 1,697.70 : x
  2. Step 2: Convert to fraction form
    1,992.95/2,983.24 = 1,697.70/x
  3. Step 3: Cross multiply
    1,992.95x = 2,983.24 × 1,697.70
  4. Step 4: Simplify right side
    1,992.95x = 5,064,646.55
  5. Step 5: Solve for x
    x = 5,064,646.55/1,992.95
  6. Step 6: Final answer
    x = 2,541.28

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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.