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Finding the Fourth Proportional to 3,129.69, 4,693.15 and 1,668.53

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Solution

The fourth proportional to 3,129.69, 4,693.15 and 1,668.53 is: 2,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.69 : 4,693.15 = 1,668.53 : x
  2. Step 2: Convert to fraction form
    3,129.69/4,693.15 = 1,668.53/x
  3. Step 3: Cross multiply
    3,129.69x = 4,693.15 × 1,668.53
  4. Step 4: Simplify right side
    3,129.69x = 7,830,661.57
  5. Step 5: Solve for x
    x = 7,830,661.57/3,129.69
  6. Step 6: Final answer
    x = 2,502.06

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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.