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Finding the Fourth Proportional to 2,558.47, 3,831.22 and 1,581.61

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Solution

The fourth proportional to 2,558.47, 3,831.22 and 1,581.61 is: 2,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.47 : 3,831.22 = 1,581.61 : x
  2. Step 2: Convert to fraction form
    2,558.47/3,831.22 = 1,581.61/x
  3. Step 3: Cross multiply
    2,558.47x = 3,831.22 × 1,581.61
  4. Step 4: Simplify right side
    2,558.47x = 6,059,495.86
  5. Step 5: Solve for x
    x = 6,059,495.86/2,558.47
  6. Step 6: Final answer
    x = 2,368.41

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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.