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Finding the Fourth Proportional to 5,638.56, 8,460.54 and 2,175

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Solution

The fourth proportional to 5,638.56, 8,460.54 and 2,175 is: 3,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.56 : 8,460.54 = 2,175 : x
  2. Step 2: Convert to fraction form
    5,638.56/8,460.54 = 2,175/x
  3. Step 3: Cross multiply
    5,638.56x = 8,460.54 × 2,175
  4. Step 4: Simplify right side
    5,638.56x = 18,401,674.50
  5. Step 5: Solve for x
    x = 18,401,674.50/5,638.56
  6. Step 6: Final answer
    x = 3,263.54

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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.