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Finding the Fourth Proportional to 2,894.84, 4,340.64 and 1,971.66

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Solution

The fourth proportional to 2,894.84, 4,340.64 and 1,971.66 is: 2,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.84 : 4,340.64 = 1,971.66 : x
  2. Step 2: Convert to fraction form
    2,894.84/4,340.64 = 1,971.66/x
  3. Step 3: Cross multiply
    2,894.84x = 4,340.64 × 1,971.66
  4. Step 4: Simplify right side
    2,894.84x = 8,558,266.26
  5. Step 5: Solve for x
    x = 8,558,266.26/2,894.84
  6. Step 6: Final answer
    x = 2,956.39

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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.