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Finding the Fourth Proportional to 3,968.61, 5,474.14 and 3,129.04

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Solution

The fourth proportional to 3,968.61, 5,474.14 and 3,129.04 is: 4,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.61 : 5,474.14 = 3,129.04 : x
  2. Step 2: Convert to fraction form
    3,968.61/5,474.14 = 3,129.04/x
  3. Step 3: Cross multiply
    3,968.61x = 5,474.14 × 3,129.04
  4. Step 4: Simplify right side
    3,968.61x = 17,128,803.03
  5. Step 5: Solve for x
    x = 17,128,803.03/3,968.61
  6. Step 6: Final answer
    x = 4,316.07

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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.