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Finding the Fourth Proportional to 28,447.14, 42,670.68 and 7,670.64

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Solution

The fourth proportional to 28,447.14, 42,670.68 and 7,670.64 is: 11,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,447.14 : 42,670.68 = 7,670.64 : x
  2. Step 2: Convert to fraction form
    28,447.14/42,670.68 = 7,670.64/x
  3. Step 3: Cross multiply
    28,447.14x = 42,670.68 × 7,670.64
  4. Step 4: Simplify right side
    28,447.14x = 327,311,424.84
  5. Step 5: Solve for x
    x = 327,311,424.84/28,447.14
  6. Step 6: Final answer
    x = 11,505.95

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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.