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Finding the Fourth Proportional to 2,755.98, 4,135.50 and 2,547

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Solution

The fourth proportional to 2,755.98, 4,135.50 and 2,547 is: 3,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.98 : 4,135.50 = 2,547 : x
  2. Step 2: Convert to fraction form
    2,755.98/4,135.50 = 2,547/x
  3. Step 3: Cross multiply
    2,755.98x = 4,135.50 × 2,547
  4. Step 4: Simplify right side
    2,755.98x = 10,533,118.50
  5. Step 5: Solve for x
    x = 10,533,118.50/2,755.98
  6. Step 6: Final answer
    x = 3,821.91

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Why These Related Problems?

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