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Finding the Fourth Proportional to 1,673.65, 2,319.65 and 1,642.53

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Solution

The fourth proportional to 1,673.65, 2,319.65 and 1,642.53 is: 2,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.65 : 2,319.65 = 1,642.53 : x
  2. Step 2: Convert to fraction form
    1,673.65/2,319.65 = 1,642.53/x
  3. Step 3: Cross multiply
    1,673.65x = 2,319.65 × 1,642.53
  4. Step 4: Simplify right side
    1,673.65x = 3,810,090.62
  5. Step 5: Solve for x
    x = 3,810,090.62/1,673.65
  6. Step 6: Final answer
    x = 2,276.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.