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Finding the Fourth Proportional to 1,671.56, 2,505.74 and 1,489.16

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Solution

The fourth proportional to 1,671.56, 2,505.74 and 1,489.16 is: 2,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.56 : 2,505.74 = 1,489.16 : x
  2. Step 2: Convert to fraction form
    1,671.56/2,505.74 = 1,489.16/x
  3. Step 3: Cross multiply
    1,671.56x = 2,505.74 × 1,489.16
  4. Step 4: Simplify right side
    1,671.56x = 3,731,447.78
  5. Step 5: Solve for x
    x = 3,731,447.78/1,671.56
  6. Step 6: Final answer
    x = 2,232.31

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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.