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Finding the Fourth Proportional to 30,831.36, 42,552 and 17,408

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Solution

The fourth proportional to 30,831.36, 42,552 and 17,408 is: 24,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.36 : 42,552 = 17,408 : x
  2. Step 2: Convert to fraction form
    30,831.36/42,552 = 17,408/x
  3. Step 3: Cross multiply
    30,831.36x = 42,552 × 17,408
  4. Step 4: Simplify right side
    30,831.36x = 740,745,216
  5. Step 5: Solve for x
    x = 740,745,216/30,831.36
  6. Step 6: Final answer
    x = 24,025.71

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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.