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Finding the Fourth Proportional to 4,847.70, 7,271.55 and 4,774.80

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Solution

The fourth proportional to 4,847.70, 7,271.55 and 4,774.80 is: 7,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.70 : 7,271.55 = 4,774.80 : x
  2. Step 2: Convert to fraction form
    4,847.70/7,271.55 = 4,774.80/x
  3. Step 3: Cross multiply
    4,847.70x = 7,271.55 × 4,774.80
  4. Step 4: Simplify right side
    4,847.70x = 34,720,196.94
  5. Step 5: Solve for x
    x = 34,720,196.94/4,847.70
  6. Step 6: Final answer
    x = 7,162.20

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