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Finding the Fourth Proportional to 6,217, 9,328.74 and 3,139

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Solution

The fourth proportional to 6,217, 9,328.74 and 3,139 is: 4,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217 : 9,328.74 = 3,139 : x
  2. Step 2: Convert to fraction form
    6,217/9,328.74 = 3,139/x
  3. Step 3: Cross multiply
    6,217x = 9,328.74 × 3,139
  4. Step 4: Simplify right side
    6,217x = 29,282,914.86
  5. Step 5: Solve for x
    x = 29,282,914.86/6,217
  6. Step 6: Final answer
    x = 4,710.14

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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.