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Finding the Fourth Proportional to 4,768.95, 7,151.67 and 1,648.16

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Solution

The fourth proportional to 4,768.95, 7,151.67 and 1,648.16 is: 2,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.95 : 7,151.67 = 1,648.16 : x
  2. Step 2: Convert to fraction form
    4,768.95/7,151.67 = 1,648.16/x
  3. Step 3: Cross multiply
    4,768.95x = 7,151.67 × 1,648.16
  4. Step 4: Simplify right side
    4,768.95x = 11,787,060.67
  5. Step 5: Solve for x
    x = 11,787,060.67/4,768.95
  6. Step 6: Final answer
    x = 2,471.63

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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.