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Finding the Fourth Proportional to 1,415.52, 2,123.36 and 389.52

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Solution

The fourth proportional to 1,415.52, 2,123.36 and 389.52 is: 584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.52 : 2,123.36 = 389.52 : x
  2. Step 2: Convert to fraction form
    1,415.52/2,123.36 = 389.52/x
  3. Step 3: Cross multiply
    1,415.52x = 2,123.36 × 389.52
  4. Step 4: Simplify right side
    1,415.52x = 827,091.19
  5. Step 5: Solve for x
    x = 827,091.19/1,415.52
  6. Step 6: Final answer
    x = 584.30

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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.