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Finding the Fourth Proportional to 2,909.79, 4,362.86 and 1,934.75

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Solution

The fourth proportional to 2,909.79, 4,362.86 and 1,934.75 is: 2,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.79 : 4,362.86 = 1,934.75 : x
  2. Step 2: Convert to fraction form
    2,909.79/4,362.86 = 1,934.75/x
  3. Step 3: Cross multiply
    2,909.79x = 4,362.86 × 1,934.75
  4. Step 4: Simplify right side
    2,909.79x = 8,441,059.13
  5. Step 5: Solve for x
    x = 8,441,059.13/2,909.79
  6. Step 6: Final answer
    x = 2,900.92

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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.