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Finding the Fourth Proportional to 2,883, 4,320.48 and 1,319.22

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Solution

The fourth proportional to 2,883, 4,320.48 and 1,319.22 is: 1,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883 : 4,320.48 = 1,319.22 : x
  2. Step 2: Convert to fraction form
    2,883/4,320.48 = 1,319.22/x
  3. Step 3: Cross multiply
    2,883x = 4,320.48 × 1,319.22
  4. Step 4: Simplify right side
    2,883x = 5,699,663.63
  5. Step 5: Solve for x
    x = 5,699,663.63/2,883
  6. Step 6: Final answer
    x = 1,976.99

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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.