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Finding the Fourth Proportional to 2,972.58, 4,102.58 and 1,853.86

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Solution

The fourth proportional to 2,972.58, 4,102.58 and 1,853.86 is: 2,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.58 : 4,102.58 = 1,853.86 : x
  2. Step 2: Convert to fraction form
    2,972.58/4,102.58 = 1,853.86/x
  3. Step 3: Cross multiply
    2,972.58x = 4,102.58 × 1,853.86
  4. Step 4: Simplify right side
    2,972.58x = 7,605,608.96
  5. Step 5: Solve for x
    x = 7,605,608.96/2,972.58
  6. Step 6: Final answer
    x = 2,558.59

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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.