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Finding the Fourth Proportional to 2,703.69, 3,730.53 and 1,642.02

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Solution

The fourth proportional to 2,703.69, 3,730.53 and 1,642.02 is: 2,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.69 : 3,730.53 = 1,642.02 : x
  2. Step 2: Convert to fraction form
    2,703.69/3,730.53 = 1,642.02/x
  3. Step 3: Cross multiply
    2,703.69x = 3,730.53 × 1,642.02
  4. Step 4: Simplify right side
    2,703.69x = 6,125,604.87
  5. Step 5: Solve for x
    x = 6,125,604.87/2,703.69
  6. Step 6: Final answer
    x = 2,265.65

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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.