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Finding the Fourth Proportional to 2,907.85, 4,362.68 and 961.42

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Solution

The fourth proportional to 2,907.85, 4,362.68 and 961.42 is: 1,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.85 : 4,362.68 = 961.42 : x
  2. Step 2: Convert to fraction form
    2,907.85/4,362.68 = 961.42/x
  3. Step 3: Cross multiply
    2,907.85x = 4,362.68 × 961.42
  4. Step 4: Simplify right side
    2,907.85x = 4,194,341.19
  5. Step 5: Solve for x
    x = 4,194,341.19/2,907.85
  6. Step 6: Final answer
    x = 1,442.42

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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.