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Finding the Fourth Proportional to 9,145, 12,623.34 and 5,419

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Solution

The fourth proportional to 9,145, 12,623.34 and 5,419 is: 7,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145 : 12,623.34 = 5,419 : x
  2. Step 2: Convert to fraction form
    9,145/12,623.34 = 5,419/x
  3. Step 3: Cross multiply
    9,145x = 12,623.34 × 5,419
  4. Step 4: Simplify right side
    9,145x = 68,405,879.46
  5. Step 5: Solve for x
    x = 68,405,879.46/9,145
  6. Step 6: Final answer
    x = 7,480.14

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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.