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Finding the Fourth Proportional to 1,757.79, 2,642.64 and 1,542.73

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Solution

The fourth proportional to 1,757.79, 2,642.64 and 1,542.73 is: 2,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.79 : 2,642.64 = 1,542.73 : x
  2. Step 2: Convert to fraction form
    1,757.79/2,642.64 = 1,542.73/x
  3. Step 3: Cross multiply
    1,757.79x = 2,642.64 × 1,542.73
  4. Step 4: Simplify right side
    1,757.79x = 4,076,880.01
  5. Step 5: Solve for x
    x = 4,076,880.01/1,757.79
  6. Step 6: Final answer
    x = 2,319.32

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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.