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Finding the Fourth Proportional to 6,465.50, 9,684.48 and 4,888.16

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Solution

The fourth proportional to 6,465.50, 9,684.48 and 4,888.16 is: 7,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.50 : 9,684.48 = 4,888.16 : x
  2. Step 2: Convert to fraction form
    6,465.50/9,684.48 = 4,888.16/x
  3. Step 3: Cross multiply
    6,465.50x = 9,684.48 × 4,888.16
  4. Step 4: Simplify right side
    6,465.50x = 47,339,287.76
  5. Step 5: Solve for x
    x = 47,339,287.76/6,465.50
  6. Step 6: Final answer
    x = 7,321.83

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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.