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Finding the Fourth Proportional to 4,788, 6,603.72 and 3,018.96

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Solution

The fourth proportional to 4,788, 6,603.72 and 3,018.96 is: 4,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788 : 6,603.72 = 3,018.96 : x
  2. Step 2: Convert to fraction form
    4,788/6,603.72 = 3,018.96/x
  3. Step 3: Cross multiply
    4,788x = 6,603.72 × 3,018.96
  4. Step 4: Simplify right side
    4,788x = 19,936,366.53
  5. Step 5: Solve for x
    x = 19,936,366.53/4,788
  6. Step 6: Final answer
    x = 4,163.82

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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.