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Finding the Fourth Proportional to 3,802.05, 5,703.47 and 1,028.74

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Solution

The fourth proportional to 3,802.05, 5,703.47 and 1,028.74 is: 1,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.05 : 5,703.47 = 1,028.74 : x
  2. Step 2: Convert to fraction form
    3,802.05/5,703.47 = 1,028.74/x
  3. Step 3: Cross multiply
    3,802.05x = 5,703.47 × 1,028.74
  4. Step 4: Simplify right side
    3,802.05x = 5,867,387.73
  5. Step 5: Solve for x
    x = 5,867,387.73/3,802.05
  6. Step 6: Final answer
    x = 1,543.22

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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.