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Finding the Fourth Proportional to 7,078.64, 9,768.80 and 4,845.20

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Solution

The fourth proportional to 7,078.64, 9,768.80 and 4,845.20 is: 6,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.64 : 9,768.80 = 4,845.20 : x
  2. Step 2: Convert to fraction form
    7,078.64/9,768.80 = 4,845.20/x
  3. Step 3: Cross multiply
    7,078.64x = 9,768.80 × 4,845.20
  4. Step 4: Simplify right side
    7,078.64x = 47,331,789.76
  5. Step 5: Solve for x
    x = 47,331,789.76/7,078.64
  6. Step 6: Final answer
    x = 6,686.57

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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.