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Finding the Fourth Proportional to 1,693.54, 2,333.91 and 1,541.80

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Solution

The fourth proportional to 1,693.54, 2,333.91 and 1,541.80 is: 2,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.54 : 2,333.91 = 1,541.80 : x
  2. Step 2: Convert to fraction form
    1,693.54/2,333.91 = 1,541.80/x
  3. Step 3: Cross multiply
    1,693.54x = 2,333.91 × 1,541.80
  4. Step 4: Simplify right side
    1,693.54x = 3,598,422.44
  5. Step 5: Solve for x
    x = 3,598,422.44/1,693.54
  6. Step 6: Final answer
    x = 2,124.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.