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Finding the Fourth Proportional to 7,846.14, 10,823.97 and 4,860.90

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Solution

The fourth proportional to 7,846.14, 10,823.97 and 4,860.90 is: 6,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.14 : 10,823.97 = 4,860.90 : x
  2. Step 2: Convert to fraction form
    7,846.14/10,823.97 = 4,860.90/x
  3. Step 3: Cross multiply
    7,846.14x = 10,823.97 × 4,860.90
  4. Step 4: Simplify right side
    7,846.14x = 52,614,235.77
  5. Step 5: Solve for x
    x = 52,614,235.77/7,846.14
  6. Step 6: Final answer
    x = 6,705.75

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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.