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Finding the Fourth Proportional to 6,465.63, 9,699 and 1,785.64

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Solution

The fourth proportional to 6,465.63, 9,699 and 1,785.64 is: 2,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.63 : 9,699 = 1,785.64 : x
  2. Step 2: Convert to fraction form
    6,465.63/9,699 = 1,785.64/x
  3. Step 3: Cross multiply
    6,465.63x = 9,699 × 1,785.64
  4. Step 4: Simplify right side
    6,465.63x = 17,318,922.36
  5. Step 5: Solve for x
    x = 17,318,922.36/6,465.63
  6. Step 6: Final answer
    x = 2,678.62

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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.