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Finding the Fourth Proportional to 2,894.47, 3,994.18 and 1,618.31

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Solution

The fourth proportional to 2,894.47, 3,994.18 and 1,618.31 is: 2,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.47 : 3,994.18 = 1,618.31 : x
  2. Step 2: Convert to fraction form
    2,894.47/3,994.18 = 1,618.31/x
  3. Step 3: Cross multiply
    2,894.47x = 3,994.18 × 1,618.31
  4. Step 4: Simplify right side
    2,894.47x = 6,463,827.38
  5. Step 5: Solve for x
    x = 6,463,827.38/2,894.47
  6. Step 6: Final answer
    x = 2,233.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.