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Finding the Fourth Proportional to 2,886.95, 4,331.43 and 912.88

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Solution

The fourth proportional to 2,886.95, 4,331.43 and 912.88 is: 1,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.95 : 4,331.43 = 912.88 : x
  2. Step 2: Convert to fraction form
    2,886.95/4,331.43 = 912.88/x
  3. Step 3: Cross multiply
    2,886.95x = 4,331.43 × 912.88
  4. Step 4: Simplify right side
    2,886.95x = 3,954,075.82
  5. Step 5: Solve for x
    x = 3,954,075.82/2,886.95
  6. Step 6: Final answer
    x = 1,369.64

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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.