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Finding the Fourth Proportional to 7,078, 9,768 and 4,283.68

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Solution

The fourth proportional to 7,078, 9,768 and 4,283.68 is: 5,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078 : 9,768 = 4,283.68 : x
  2. Step 2: Convert to fraction form
    7,078/9,768 = 4,283.68/x
  3. Step 3: Cross multiply
    7,078x = 9,768 × 4,283.68
  4. Step 4: Simplify right side
    7,078x = 41,842,986.24
  5. Step 5: Solve for x
    x = 41,842,986.24/7,078
  6. Step 6: Final answer
    x = 5,911.70

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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.