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Finding the Fourth Proportional to 2,919.63, 4,376.71 and 971.38

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Solution

The fourth proportional to 2,919.63, 4,376.71 and 971.38 is: 1,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.63 : 4,376.71 = 971.38 : x
  2. Step 2: Convert to fraction form
    2,919.63/4,376.71 = 971.38/x
  3. Step 3: Cross multiply
    2,919.63x = 4,376.71 × 971.38
  4. Step 4: Simplify right side
    2,919.63x = 4,251,448.56
  5. Step 5: Solve for x
    x = 4,251,448.56/2,919.63
  6. Step 6: Final answer
    x = 1,456.16

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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.