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Finding the Fourth Proportional to 1,719, 2,372.22 and 972.94

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Solution

The fourth proportional to 1,719, 2,372.22 and 972.94 is: 1,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719 : 2,372.22 = 972.94 : x
  2. Step 2: Convert to fraction form
    1,719/2,372.22 = 972.94/x
  3. Step 3: Cross multiply
    1,719x = 2,372.22 × 972.94
  4. Step 4: Simplify right side
    1,719x = 2,308,027.73
  5. Step 5: Solve for x
    x = 2,308,027.73/1,719
  6. Step 6: Final answer
    x = 1,342.66

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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.