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Finding the Fourth Proportional to 3,802.70, 5,703.97 and 1,721.20

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Solution

The fourth proportional to 3,802.70, 5,703.97 and 1,721.20 is: 2,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.70 : 5,703.97 = 1,721.20 : x
  2. Step 2: Convert to fraction form
    3,802.70/5,703.97 = 1,721.20/x
  3. Step 3: Cross multiply
    3,802.70x = 5,703.97 × 1,721.20
  4. Step 4: Simplify right side
    3,802.70x = 9,817,673.16
  5. Step 5: Solve for x
    x = 9,817,673.16/3,802.70
  6. Step 6: Final answer
    x = 2,581.76

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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.