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Finding the Fourth Proportional to 3,830, 5,285.40 and 2,174

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Solution

The fourth proportional to 3,830, 5,285.40 and 2,174 is: 3,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830 : 5,285.40 = 2,174 : x
  2. Step 2: Convert to fraction form
    3,830/5,285.40 = 2,174/x
  3. Step 3: Cross multiply
    3,830x = 5,285.40 × 2,174
  4. Step 4: Simplify right side
    3,830x = 11,490,459.60
  5. Step 5: Solve for x
    x = 11,490,459.60/3,830
  6. Step 6: Final answer
    x = 3,000.12

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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.