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Finding the Fourth Proportional to 1,891.46, 2,835.94 and 904.42

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Solution

The fourth proportional to 1,891.46, 2,835.94 and 904.42 is: 1,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.46 : 2,835.94 = 904.42 : x
  2. Step 2: Convert to fraction form
    1,891.46/2,835.94 = 904.42/x
  3. Step 3: Cross multiply
    1,891.46x = 2,835.94 × 904.42
  4. Step 4: Simplify right side
    1,891.46x = 2,564,880.85
  5. Step 5: Solve for x
    x = 2,564,880.85/1,891.46
  6. Step 6: Final answer
    x = 1,356.03

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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.