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Finding the Fourth Proportional to 1,719.60, 2,374.98 and 1,162.37

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Solution

The fourth proportional to 1,719.60, 2,374.98 and 1,162.37 is: 1,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.60 : 2,374.98 = 1,162.37 : x
  2. Step 2: Convert to fraction form
    1,719.60/2,374.98 = 1,162.37/x
  3. Step 3: Cross multiply
    1,719.60x = 2,374.98 × 1,162.37
  4. Step 4: Simplify right side
    1,719.60x = 2,760,605.50
  5. Step 5: Solve for x
    x = 2,760,605.50/1,719.60
  6. Step 6: Final answer
    x = 1,605.38

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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.