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Finding the Fourth Proportional to 3,808.47, 5,712.53 and 997.32

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Solution

The fourth proportional to 3,808.47, 5,712.53 and 997.32 is: 1,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.47 : 5,712.53 = 997.32 : x
  2. Step 2: Convert to fraction form
    3,808.47/5,712.53 = 997.32/x
  3. Step 3: Cross multiply
    3,808.47x = 5,712.53 × 997.32
  4. Step 4: Simplify right side
    3,808.47x = 5,697,215.43
  5. Step 5: Solve for x
    x = 5,697,215.43/3,808.47
  6. Step 6: Final answer
    x = 1,495.93

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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.