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Finding the Fourth Proportional to 13,812.94, 19,062.36 and 7,844.45

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Solution

The fourth proportional to 13,812.94, 19,062.36 and 7,844.45 is: 10,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.94 : 19,062.36 = 7,844.45 : x
  2. Step 2: Convert to fraction form
    13,812.94/19,062.36 = 7,844.45/x
  3. Step 3: Cross multiply
    13,812.94x = 19,062.36 × 7,844.45
  4. Step 4: Simplify right side
    13,812.94x = 149,533,729.90
  5. Step 5: Solve for x
    x = 149,533,729.90/13,812.94
  6. Step 6: Final answer
    x = 10,825.63

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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.