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Finding the Fourth Proportional to 1,927.30, 2,889.21 and 694.42

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Solution

The fourth proportional to 1,927.30, 2,889.21 and 694.42 is: 1,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.30 : 2,889.21 = 694.42 : x
  2. Step 2: Convert to fraction form
    1,927.30/2,889.21 = 694.42/x
  3. Step 3: Cross multiply
    1,927.30x = 2,889.21 × 694.42
  4. Step 4: Simplify right side
    1,927.30x = 2,006,325.21
  5. Step 5: Solve for x
    x = 2,006,325.21/1,927.30
  6. Step 6: Final answer
    x = 1,041.00

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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.