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Finding the Fourth Proportional to 11,955.49, 18,013 and 10,831.16

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Solution

The fourth proportional to 11,955.49, 18,013 and 10,831.16 is: 16,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.49 : 18,013 = 10,831.16 : x
  2. Step 2: Convert to fraction form
    11,955.49/18,013 = 10,831.16/x
  3. Step 3: Cross multiply
    11,955.49x = 18,013 × 10,831.16
  4. Step 4: Simplify right side
    11,955.49x = 195,101,685.08
  5. Step 5: Solve for x
    x = 195,101,685.08/11,955.49
  6. Step 6: Final answer
    x = 16,319.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.