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Finding the Fourth Proportional to 3,404.79, 4,698.54 and 1,912.50

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Solution

The fourth proportional to 3,404.79, 4,698.54 and 1,912.50 is: 2,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.79 : 4,698.54 = 1,912.50 : x
  2. Step 2: Convert to fraction form
    3,404.79/4,698.54 = 1,912.50/x
  3. Step 3: Cross multiply
    3,404.79x = 4,698.54 × 1,912.50
  4. Step 4: Simplify right side
    3,404.79x = 8,985,957.75
  5. Step 5: Solve for x
    x = 8,985,957.75/3,404.79
  6. Step 6: Final answer
    x = 2,639.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.