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Finding the Fourth Proportional to 1,670.00, 2,517.68 and 1,580.69

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Solution

The fourth proportional to 1,670.00, 2,517.68 and 1,580.69 is: 2,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.00 : 2,517.68 = 1,580.69 : x
  2. Step 2: Convert to fraction form
    1,670.00/2,517.68 = 1,580.69/x
  3. Step 3: Cross multiply
    1,670.00x = 2,517.68 × 1,580.69
  4. Step 4: Simplify right side
    1,670.00x = 3,979,669.99
  5. Step 5: Solve for x
    x = 3,979,669.99/1,670.00
  6. Step 6: Final answer
    x = 2,383.04

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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.