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Finding the Fourth Proportional to 3,151.96, 4,726.98 and 1,783

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Solution

The fourth proportional to 3,151.96, 4,726.98 and 1,783 is: 2,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.96 : 4,726.98 = 1,783 : x
  2. Step 2: Convert to fraction form
    3,151.96/4,726.98 = 1,783/x
  3. Step 3: Cross multiply
    3,151.96x = 4,726.98 × 1,783
  4. Step 4: Simplify right side
    3,151.96x = 8,428,205.34
  5. Step 5: Solve for x
    x = 8,428,205.34/3,151.96
  6. Step 6: Final answer
    x = 2,673.96

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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.