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Finding the Fourth Proportional to 12,944, 19,416 and 3,216

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Solution

The fourth proportional to 12,944, 19,416 and 3,216 is: 4,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944 : 19,416 = 3,216 : x
  2. Step 2: Convert to fraction form
    12,944/19,416 = 3,216/x
  3. Step 3: Cross multiply
    12,944x = 19,416 × 3,216
  4. Step 4: Simplify right side
    12,944x = 62,441,856
  5. Step 5: Solve for x
    x = 62,441,856/12,944
  6. Step 6: Final answer
    x = 4,824

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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.