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Finding the Fourth Proportional to 13,816.34, 19,060.02 and 8,509.22

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Solution

The fourth proportional to 13,816.34, 19,060.02 and 8,509.22 is: 11,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.34 : 19,060.02 = 8,509.22 : x
  2. Step 2: Convert to fraction form
    13,816.34/19,060.02 = 8,509.22/x
  3. Step 3: Cross multiply
    13,816.34x = 19,060.02 × 8,509.22
  4. Step 4: Simplify right side
    13,816.34x = 162,185,903.38
  5. Step 5: Solve for x
    x = 162,185,903.38/13,816.34
  6. Step 6: Final answer
    x = 11,738.70

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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.