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Finding the Fourth Proportional to 1,697.96, 2,344 and 1,319

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Solution

The fourth proportional to 1,697.96, 2,344 and 1,319 is: 1,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.96 : 2,344 = 1,319 : x
  2. Step 2: Convert to fraction form
    1,697.96/2,344 = 1,319/x
  3. Step 3: Cross multiply
    1,697.96x = 2,344 × 1,319
  4. Step 4: Simplify right side
    1,697.96x = 3,091,736
  5. Step 5: Solve for x
    x = 3,091,736/1,697.96
  6. Step 6: Final answer
    x = 1,820.85

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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.