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Finding the Fourth Proportional to 4,800.84, 6,625.22 and 2,705

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Solution

The fourth proportional to 4,800.84, 6,625.22 and 2,705 is: 3,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.84 : 6,625.22 = 2,705 : x
  2. Step 2: Convert to fraction form
    4,800.84/6,625.22 = 2,705/x
  3. Step 3: Cross multiply
    4,800.84x = 6,625.22 × 2,705
  4. Step 4: Simplify right side
    4,800.84x = 17,921,220.10
  5. Step 5: Solve for x
    x = 17,921,220.10/4,800.84
  6. Step 6: Final answer
    x = 3,732.93

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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.