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Finding the Fourth Proportional to 1,489.94, 2,235.52 and 1,342.32

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Solution

The fourth proportional to 1,489.94, 2,235.52 and 1,342.32 is: 2,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.94 : 2,235.52 = 1,342.32 : x
  2. Step 2: Convert to fraction form
    1,489.94/2,235.52 = 1,342.32/x
  3. Step 3: Cross multiply
    1,489.94x = 2,235.52 × 1,342.32
  4. Step 4: Simplify right side
    1,489.94x = 3,000,783.21
  5. Step 5: Solve for x
    x = 3,000,783.21/1,489.94
  6. Step 6: Final answer
    x = 2,014.03

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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.