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Finding the Fourth Proportional to 2,889.32, 4,332.06 and 940.84

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Solution

The fourth proportional to 2,889.32, 4,332.06 and 940.84 is: 1,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.32 : 4,332.06 = 940.84 : x
  2. Step 2: Convert to fraction form
    2,889.32/4,332.06 = 940.84/x
  3. Step 3: Cross multiply
    2,889.32x = 4,332.06 × 940.84
  4. Step 4: Simplify right side
    2,889.32x = 4,075,775.33
  5. Step 5: Solve for x
    x = 4,075,775.33/2,889.32
  6. Step 6: Final answer
    x = 1,410.63

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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.