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Finding the Fourth Proportional to 1,579.78, 2,366.63 and 1,418.79

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Solution

The fourth proportional to 1,579.78, 2,366.63 and 1,418.79 is: 2,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.78 : 2,366.63 = 1,418.79 : x
  2. Step 2: Convert to fraction form
    1,579.78/2,366.63 = 1,418.79/x
  3. Step 3: Cross multiply
    1,579.78x = 2,366.63 × 1,418.79
  4. Step 4: Simplify right side
    1,579.78x = 3,357,750.98
  5. Step 5: Solve for x
    x = 3,357,750.98/1,579.78
  6. Step 6: Final answer
    x = 2,125.45

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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.