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Finding the Fourth Proportional to 2,886.72, 4,328.40 and 1,963.68

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Solution

The fourth proportional to 2,886.72, 4,328.40 and 1,963.68 is: 2,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.72 : 4,328.40 = 1,963.68 : x
  2. Step 2: Convert to fraction form
    2,886.72/4,328.40 = 1,963.68/x
  3. Step 3: Cross multiply
    2,886.72x = 4,328.40 × 1,963.68
  4. Step 4: Simplify right side
    2,886.72x = 8,499,592.51
  5. Step 5: Solve for x
    x = 8,499,592.51/2,886.72
  6. Step 6: Final answer
    x = 2,944.38

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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.