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Finding the Fourth Proportional to 13,852, 19,117.38 and 7,885.54

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Solution

The fourth proportional to 13,852, 19,117.38 and 7,885.54 is: 10,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852 : 19,117.38 = 7,885.54 : x
  2. Step 2: Convert to fraction form
    13,852/19,117.38 = 7,885.54/x
  3. Step 3: Cross multiply
    13,852x = 19,117.38 × 7,885.54
  4. Step 4: Simplify right side
    13,852x = 150,750,864.69
  5. Step 5: Solve for x
    x = 150,750,864.69/13,852
  6. Step 6: Final answer
    x = 10,882.97

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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.