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Finding the Fourth Proportional to 2,113.06, 3,169.76 and 726.40

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Solution

The fourth proportional to 2,113.06, 3,169.76 and 726.40 is: 1,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.06 : 3,169.76 = 726.40 : x
  2. Step 2: Convert to fraction form
    2,113.06/3,169.76 = 726.40/x
  3. Step 3: Cross multiply
    2,113.06x = 3,169.76 × 726.40
  4. Step 4: Simplify right side
    2,113.06x = 2,302,513.66
  5. Step 5: Solve for x
    x = 2,302,513.66/2,113.06
  6. Step 6: Final answer
    x = 1,089.66

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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.