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Finding the Fourth Proportional to 28,176, 42,278.58 and 14,325

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Solution

The fourth proportional to 28,176, 42,278.58 and 14,325 is: 21,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176 : 42,278.58 = 14,325 : x
  2. Step 2: Convert to fraction form
    28,176/42,278.58 = 14,325/x
  3. Step 3: Cross multiply
    28,176x = 42,278.58 × 14,325
  4. Step 4: Simplify right side
    28,176x = 605,640,658.50
  5. Step 5: Solve for x
    x = 605,640,658.50/28,176
  6. Step 6: Final answer
    x = 21,494.91

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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.