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Finding the Fourth Proportional to 13,915.13, 19,202.94 and 8,326.13

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Solution

The fourth proportional to 13,915.13, 19,202.94 and 8,326.13 is: 11,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.13 : 19,202.94 = 8,326.13 : x
  2. Step 2: Convert to fraction form
    13,915.13/19,202.94 = 8,326.13/x
  3. Step 3: Cross multiply
    13,915.13x = 19,202.94 × 8,326.13
  4. Step 4: Simplify right side
    13,915.13x = 159,886,078.81
  5. Step 5: Solve for x
    x = 159,886,078.81/13,915.13
  6. Step 6: Final answer
    x = 11,490.09

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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.