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Finding the Fourth Proportional to 1,562.88, 2,147.75 and 1,490.60

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Solution

The fourth proportional to 1,562.88, 2,147.75 and 1,490.60 is: 2,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.88 : 2,147.75 = 1,490.60 : x
  2. Step 2: Convert to fraction form
    1,562.88/2,147.75 = 1,490.60/x
  3. Step 3: Cross multiply
    1,562.88x = 2,147.75 × 1,490.60
  4. Step 4: Simplify right side
    1,562.88x = 3,201,436.15
  5. Step 5: Solve for x
    x = 3,201,436.15/1,562.88
  6. Step 6: Final answer
    x = 2,048.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.