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Finding the Fourth Proportional to 2,174.61, 2,999.48 and 1,388.31

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Solution

The fourth proportional to 2,174.61, 2,999.48 and 1,388.31 is: 1,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.61 : 2,999.48 = 1,388.31 : x
  2. Step 2: Convert to fraction form
    2,174.61/2,999.48 = 1,388.31/x
  3. Step 3: Cross multiply
    2,174.61x = 2,999.48 × 1,388.31
  4. Step 4: Simplify right side
    2,174.61x = 4,164,197.70
  5. Step 5: Solve for x
    x = 4,164,197.70/2,174.61
  6. Step 6: Final answer
    x = 1,914.91

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1.5x scale

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.