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Finding the Fourth Proportional to 6,449.07, 9,678.42 and 4,800.63

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Solution

The fourth proportional to 6,449.07, 9,678.42 and 4,800.63 is: 7,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.07 : 9,678.42 = 4,800.63 : x
  2. Step 2: Convert to fraction form
    6,449.07/9,678.42 = 4,800.63/x
  3. Step 3: Cross multiply
    6,449.07x = 9,678.42 × 4,800.63
  4. Step 4: Simplify right side
    6,449.07x = 46,462,513.40
  5. Step 5: Solve for x
    x = 46,462,513.40/6,449.07
  6. Step 6: Final answer
    x = 7,204.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.