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Finding the Fourth Proportional to 5,751.10, 8,625.70 and 1,855

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Solution

The fourth proportional to 5,751.10, 8,625.70 and 1,855 is: 2,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.10 : 8,625.70 = 1,855 : x
  2. Step 2: Convert to fraction form
    5,751.10/8,625.70 = 1,855/x
  3. Step 3: Cross multiply
    5,751.10x = 8,625.70 × 1,855
  4. Step 4: Simplify right side
    5,751.10x = 16,000,673.50
  5. Step 5: Solve for x
    x = 16,000,673.50/5,751.10
  6. Step 6: Final answer
    x = 2,782.19

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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.