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Finding the Fourth Proportional to 2,902.94, 4,355.17 and 1,259.80

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Solution

The fourth proportional to 2,902.94, 4,355.17 and 1,259.80 is: 1,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.94 : 4,355.17 = 1,259.80 : x
  2. Step 2: Convert to fraction form
    2,902.94/4,355.17 = 1,259.80/x
  3. Step 3: Cross multiply
    2,902.94x = 4,355.17 × 1,259.80
  4. Step 4: Simplify right side
    2,902.94x = 5,486,653.63
  5. Step 5: Solve for x
    x = 5,486,653.63/2,902.94
  6. Step 6: Final answer
    x = 1,890.03

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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.