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Finding the Fourth Proportional to 1,765.65, 2,640.04 and 1,610.74

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Solution

The fourth proportional to 1,765.65, 2,640.04 and 1,610.74 is: 2,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.65 : 2,640.04 = 1,610.74 : x
  2. Step 2: Convert to fraction form
    1,765.65/2,640.04 = 1,610.74/x
  3. Step 3: Cross multiply
    1,765.65x = 2,640.04 × 1,610.74
  4. Step 4: Simplify right side
    1,765.65x = 4,252,411.51
  5. Step 5: Solve for x
    x = 4,252,411.51/1,765.65
  6. Step 6: Final answer
    x = 2,408.41

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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.