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Finding the Fourth Proportional to 6,903.78, 10,355.67 and 4,827.80

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Solution

The fourth proportional to 6,903.78, 10,355.67 and 4,827.80 is: 7,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.78 : 10,355.67 = 4,827.80 : x
  2. Step 2: Convert to fraction form
    6,903.78/10,355.67 = 4,827.80/x
  3. Step 3: Cross multiply
    6,903.78x = 10,355.67 × 4,827.80
  4. Step 4: Simplify right side
    6,903.78x = 49,995,051.85
  5. Step 5: Solve for x
    x = 49,995,051.85/6,903.78
  6. Step 6: Final answer
    x = 7,241.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.