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Finding the Fourth Proportional to 2,173.68, 2,999.88 and 1,242

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Solution

The fourth proportional to 2,173.68, 2,999.88 and 1,242 is: 1,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.68 : 2,999.88 = 1,242 : x
  2. Step 2: Convert to fraction form
    2,173.68/2,999.88 = 1,242/x
  3. Step 3: Cross multiply
    2,173.68x = 2,999.88 × 1,242
  4. Step 4: Simplify right side
    2,173.68x = 3,725,850.96
  5. Step 5: Solve for x
    x = 3,725,850.96/2,173.68
  6. Step 6: Final answer
    x = 1,714.08

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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.