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Finding the Fourth Proportional to 6,465.75, 9,699.19 and 1,785.77

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Solution

The fourth proportional to 6,465.75, 9,699.19 and 1,785.77 is: 2,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.75 : 9,699.19 = 1,785.77 : x
  2. Step 2: Convert to fraction form
    6,465.75/9,699.19 = 1,785.77/x
  3. Step 3: Cross multiply
    6,465.75x = 9,699.19 × 1,785.77
  4. Step 4: Simplify right side
    6,465.75x = 17,320,474.03
  5. Step 5: Solve for x
    x = 17,320,474.03/6,465.75
  6. Step 6: Final answer
    x = 2,678.80

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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.