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Finding the Fourth Proportional to 2,113.13, 3,169.65 and 726.45

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Solution

The fourth proportional to 2,113.13, 3,169.65 and 726.45 is: 1,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.13 : 3,169.65 = 726.45 : x
  2. Step 2: Convert to fraction form
    2,113.13/3,169.65 = 726.45/x
  3. Step 3: Cross multiply
    2,113.13x = 3,169.65 × 726.45
  4. Step 4: Simplify right side
    2,113.13x = 2,302,592.24
  5. Step 5: Solve for x
    x = 2,302,592.24/2,113.13
  6. Step 6: Final answer
    x = 1,089.66

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1.5x scale

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.