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Finding the Fourth Proportional to 12,670.50, 19,005.82 and 3,436.50

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Solution

The fourth proportional to 12,670.50, 19,005.82 and 3,436.50 is: 5,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.50 : 19,005.82 = 3,436.50 : x
  2. Step 2: Convert to fraction form
    12,670.50/19,005.82 = 3,436.50/x
  3. Step 3: Cross multiply
    12,670.50x = 19,005.82 × 3,436.50
  4. Step 4: Simplify right side
    12,670.50x = 65,313,491.84
  5. Step 5: Solve for x
    x = 65,313,491.84/12,670.50
  6. Step 6: Final answer
    x = 5,154.77

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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.