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Finding the Fourth Proportional to 1,415.74, 2,123.37 and 389.50

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Solution

The fourth proportional to 1,415.74, 2,123.37 and 389.50 is: 584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.74 : 2,123.37 = 389.50 : x
  2. Step 2: Convert to fraction form
    1,415.74/2,123.37 = 389.50/x
  3. Step 3: Cross multiply
    1,415.74x = 2,123.37 × 389.50
  4. Step 4: Simplify right side
    1,415.74x = 827,052.62
  5. Step 5: Solve for x
    x = 827,052.62/1,415.74
  6. Step 6: Final answer
    x = 584.18

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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.