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Finding the Fourth Proportional to 2,470.68, 3,409.62 and 1,664.22

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Solution

The fourth proportional to 2,470.68, 3,409.62 and 1,664.22 is: 2,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.68 : 3,409.62 = 1,664.22 : x
  2. Step 2: Convert to fraction form
    2,470.68/3,409.62 = 1,664.22/x
  3. Step 3: Cross multiply
    2,470.68x = 3,409.62 × 1,664.22
  4. Step 4: Simplify right side
    2,470.68x = 5,674,357.80
  5. Step 5: Solve for x
    x = 5,674,357.80/2,470.68
  6. Step 6: Final answer
    x = 2,296.68

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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.