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Finding the Fourth Proportional to 1,584.32, 2,188 and 1,319.76

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Solution

The fourth proportional to 1,584.32, 2,188 and 1,319.76 is: 1,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.32 : 2,188 = 1,319.76 : x
  2. Step 2: Convert to fraction form
    1,584.32/2,188 = 1,319.76/x
  3. Step 3: Cross multiply
    1,584.32x = 2,188 × 1,319.76
  4. Step 4: Simplify right side
    1,584.32x = 2,887,634.88
  5. Step 5: Solve for x
    x = 2,887,634.88/1,584.32
  6. Step 6: Final answer
    x = 1,822.63

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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.