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Finding the Fourth Proportional to 18,823.17, 28,218.00 and 7,144.59

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Solution

The fourth proportional to 18,823.17, 28,218.00 and 7,144.59 is: 10,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.17 : 28,218.00 = 7,144.59 : x
  2. Step 2: Convert to fraction form
    18,823.17/28,218.00 = 7,144.59/x
  3. Step 3: Cross multiply
    18,823.17x = 28,218.00 × 7,144.59
  4. Step 4: Simplify right side
    18,823.17x = 201,605,872.74
  5. Step 5: Solve for x
    x = 201,605,872.74/18,823.17
  6. Step 6: Final answer
    x = 10,710.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.