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Finding the Fourth Proportional to 3,867.92, 5,802.18 and 1,402.76

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Solution

The fourth proportional to 3,867.92, 5,802.18 and 1,402.76 is: 2,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.92 : 5,802.18 = 1,402.76 : x
  2. Step 2: Convert to fraction form
    3,867.92/5,802.18 = 1,402.76/x
  3. Step 3: Cross multiply
    3,867.92x = 5,802.18 × 1,402.76
  4. Step 4: Simplify right side
    3,867.92x = 8,139,066.02
  5. Step 5: Solve for x
    x = 8,139,066.02/3,867.92
  6. Step 6: Final answer
    x = 2,104.25

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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.