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Finding the Fourth Proportional to 12,148, 16,759.44 and 7,670.08

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Solution

The fourth proportional to 12,148, 16,759.44 and 7,670.08 is: 10,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148 : 16,759.44 = 7,670.08 : x
  2. Step 2: Convert to fraction form
    12,148/16,759.44 = 7,670.08/x
  3. Step 3: Cross multiply
    12,148x = 16,759.44 × 7,670.08
  4. Step 4: Simplify right side
    12,148x = 128,546,245.56
  5. Step 5: Solve for x
    x = 128,546,245.56/12,148
  6. Step 6: Final answer
    x = 10,581.68

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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.