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Finding the Fourth Proportional to 1,693.79, 2,553.32 and 1,580.87

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Solution

The fourth proportional to 1,693.79, 2,553.32 and 1,580.87 is: 2,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.79 : 2,553.32 = 1,580.87 : x
  2. Step 2: Convert to fraction form
    1,693.79/2,553.32 = 1,580.87/x
  3. Step 3: Cross multiply
    1,693.79x = 2,553.32 × 1,580.87
  4. Step 4: Simplify right side
    1,693.79x = 4,036,462.96
  5. Step 5: Solve for x
    x = 4,036,462.96/1,693.79
  6. Step 6: Final answer
    x = 2,383.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.