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Finding the Fourth Proportional to 6,218, 9,330.24 and 3,140

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Solution

The fourth proportional to 6,218, 9,330.24 and 3,140 is: 4,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218 : 9,330.24 = 3,140 : x
  2. Step 2: Convert to fraction form
    6,218/9,330.24 = 3,140/x
  3. Step 3: Cross multiply
    6,218x = 9,330.24 × 3,140
  4. Step 4: Simplify right side
    6,218x = 29,296,953.60
  5. Step 5: Solve for x
    x = 29,296,953.60/6,218
  6. Step 6: Final answer
    x = 4,711.64

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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.