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Finding the Fourth Proportional to 2,390.92, 3,580.50 and 1,568.36

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Solution

The fourth proportional to 2,390.92, 3,580.50 and 1,568.36 is: 2,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.92 : 3,580.50 = 1,568.36 : x
  2. Step 2: Convert to fraction form
    2,390.92/3,580.50 = 1,568.36/x
  3. Step 3: Cross multiply
    2,390.92x = 3,580.50 × 1,568.36
  4. Step 4: Simplify right side
    2,390.92x = 5,615,527.81
  5. Step 5: Solve for x
    x = 5,615,527.81/2,390.92
  6. Step 6: Final answer
    x = 2,348.69

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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.