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Finding the Fourth Proportional to 9,277.95, 12,793.27 and 7,148.73

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Solution

The fourth proportional to 9,277.95, 12,793.27 and 7,148.73 is: 9,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.95 : 12,793.27 = 7,148.73 : x
  2. Step 2: Convert to fraction form
    9,277.95/12,793.27 = 7,148.73/x
  3. Step 3: Cross multiply
    9,277.95x = 12,793.27 × 7,148.73
  4. Step 4: Simplify right side
    9,277.95x = 91,455,633.05
  5. Step 5: Solve for x
    x = 91,455,633.05/9,277.95
  6. Step 6: Final answer
    x = 9,857.31

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1.5x scale

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.