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Finding the Fourth Proportional to 1,603.92, 2,212.56 and 1,558.74

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Solution

The fourth proportional to 1,603.92, 2,212.56 and 1,558.74 is: 2,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.92 : 2,212.56 = 1,558.74 : x
  2. Step 2: Convert to fraction form
    1,603.92/2,212.56 = 1,558.74/x
  3. Step 3: Cross multiply
    1,603.92x = 2,212.56 × 1,558.74
  4. Step 4: Simplify right side
    1,603.92x = 3,448,805.77
  5. Step 5: Solve for x
    x = 3,448,805.77/1,603.92
  6. Step 6: Final answer
    x = 2,150.24

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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.