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Finding the Fourth Proportional to 9,400.48, 12,968.06 and 7,907.85

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Solution

The fourth proportional to 9,400.48, 12,968.06 and 7,907.85 is: 10,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.48 : 12,968.06 = 7,907.85 : x
  2. Step 2: Convert to fraction form
    9,400.48/12,968.06 = 7,907.85/x
  3. Step 3: Cross multiply
    9,400.48x = 12,968.06 × 7,907.85
  4. Step 4: Simplify right side
    9,400.48x = 102,549,433.73
  5. Step 5: Solve for x
    x = 102,549,433.73/9,400.48
  6. Step 6: Final answer
    x = 10,908.96

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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.