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Finding the Fourth Proportional to 2,097.70, 3,140.47 and 1,579.88

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Solution

The fourth proportional to 2,097.70, 3,140.47 and 1,579.88 is: 2,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.70 : 3,140.47 = 1,579.88 : x
  2. Step 2: Convert to fraction form
    2,097.70/3,140.47 = 1,579.88/x
  3. Step 3: Cross multiply
    2,097.70x = 3,140.47 × 1,579.88
  4. Step 4: Simplify right side
    2,097.70x = 4,961,566.74
  5. Step 5: Solve for x
    x = 4,961,566.74/2,097.70
  6. Step 6: Final answer
    x = 2,365.24

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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.