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Finding the Fourth Proportional to 6,318, 8,718.73 and 3,485.65

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Solution

The fourth proportional to 6,318, 8,718.73 and 3,485.65 is: 4,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318 : 8,718.73 = 3,485.65 : x
  2. Step 2: Convert to fraction form
    6,318/8,718.73 = 3,485.65/x
  3. Step 3: Cross multiply
    6,318x = 8,718.73 × 3,485.65
  4. Step 4: Simplify right side
    6,318x = 30,390,441.22
  5. Step 5: Solve for x
    x = 30,390,441.22/6,318
  6. Step 6: Final answer
    x = 4,810.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.