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Finding the Fourth Proportional to 3,802.05, 5,701.62 and 1,827.13

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Solution

The fourth proportional to 3,802.05, 5,701.62 and 1,827.13 is: 2,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.05 : 5,701.62 = 1,827.13 : x
  2. Step 2: Convert to fraction form
    3,802.05/5,701.62 = 1,827.13/x
  3. Step 3: Cross multiply
    3,802.05x = 5,701.62 × 1,827.13
  4. Step 4: Simplify right side
    3,802.05x = 10,417,572.44
  5. Step 5: Solve for x
    x = 10,417,572.44/3,802.05
  6. Step 6: Final answer
    x = 2,739.99

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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.