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Finding the Fourth Proportional to 13,376.54, 20,058.06 and 7,831.64

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Solution

The fourth proportional to 13,376.54, 20,058.06 and 7,831.64 is: 11,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.54 : 20,058.06 = 7,831.64 : x
  2. Step 2: Convert to fraction form
    13,376.54/20,058.06 = 7,831.64/x
  3. Step 3: Cross multiply
    13,376.54x = 20,058.06 × 7,831.64
  4. Step 4: Simplify right side
    13,376.54x = 157,087,505.02
  5. Step 5: Solve for x
    x = 157,087,505.02/13,376.54
  6. Step 6: Final answer
    x = 11,743.51

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1.5x scale

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.