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Finding the Fourth Proportional to 12,420.61, 17,140.42 and 6,831.61

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Solution

The fourth proportional to 12,420.61, 17,140.42 and 6,831.61 is: 9,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.61 : 17,140.42 = 6,831.61 : x
  2. Step 2: Convert to fraction form
    12,420.61/17,140.42 = 6,831.61/x
  3. Step 3: Cross multiply
    12,420.61x = 17,140.42 × 6,831.61
  4. Step 4: Simplify right side
    12,420.61x = 117,096,664.68
  5. Step 5: Solve for x
    x = 117,096,664.68/12,420.61
  6. Step 6: Final answer
    x = 9,427.61

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1.5x scale

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.