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Finding the Fourth Proportional to 28,441.44, 42,661.98 and 15,300

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Solution

The fourth proportional to 28,441.44, 42,661.98 and 15,300 is: 22,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,441.44 : 42,661.98 = 15,300 : x
  2. Step 2: Convert to fraction form
    28,441.44/42,661.98 = 15,300/x
  3. Step 3: Cross multiply
    28,441.44x = 42,661.98 × 15,300
  4. Step 4: Simplify right side
    28,441.44x = 652,728,294
  5. Step 5: Solve for x
    x = 652,728,294/28,441.44
  6. Step 6: Final answer
    x = 22,949.90

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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.