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Finding the Fourth Proportional to 4,778.06, 7,167.69 and 4,114.67

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Solution

The fourth proportional to 4,778.06, 7,167.69 and 4,114.67 is: 6,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.06 : 7,167.69 = 4,114.67 : x
  2. Step 2: Convert to fraction form
    4,778.06/7,167.69 = 4,114.67/x
  3. Step 3: Cross multiply
    4,778.06x = 7,167.69 × 4,114.67
  4. Step 4: Simplify right side
    4,778.06x = 29,492,643.17
  5. Step 5: Solve for x
    x = 29,492,643.17/4,778.06
  6. Step 6: Final answer
    x = 6,172.52

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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.