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Finding the Fourth Proportional to 1,809.54, 2,495.75 and 1,145.75

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Solution

The fourth proportional to 1,809.54, 2,495.75 and 1,145.75 is: 1,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.54 : 2,495.75 = 1,145.75 : x
  2. Step 2: Convert to fraction form
    1,809.54/2,495.75 = 1,145.75/x
  3. Step 3: Cross multiply
    1,809.54x = 2,495.75 × 1,145.75
  4. Step 4: Simplify right side
    1,809.54x = 2,859,487.36
  5. Step 5: Solve for x
    x = 2,859,487.36/1,809.54
  6. Step 6: Final answer
    x = 1,580.23

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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.