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Finding the Fourth Proportional to 4,216, 6,324 and 1,138

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Solution

The fourth proportional to 4,216, 6,324 and 1,138 is: 1,707

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216 : 6,324 = 1,138 : x
  2. Step 2: Convert to fraction form
    4,216/6,324 = 1,138/x
  3. Step 3: Cross multiply
    4,216x = 6,324 × 1,138
  4. Step 4: Simplify right side
    4,216x = 7,196,712
  5. Step 5: Solve for x
    x = 7,196,712/4,216
  6. Step 6: Final answer
    x = 1,707

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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.