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Finding the Fourth Proportional to 2,173.76, 2,999.80 and 1,242.24

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Solution

The fourth proportional to 2,173.76, 2,999.80 and 1,242.24 is: 1,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.76 : 2,999.80 = 1,242.24 : x
  2. Step 2: Convert to fraction form
    2,173.76/2,999.80 = 1,242.24/x
  3. Step 3: Cross multiply
    2,173.76x = 2,999.80 × 1,242.24
  4. Step 4: Simplify right side
    2,173.76x = 3,726,471.55
  5. Step 5: Solve for x
    x = 3,726,471.55/2,173.76
  6. Step 6: Final answer
    x = 1,714.30

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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.