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Finding the Fourth Proportional to 3,970.64, 5,473.17 and 3,129.98

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Solution

The fourth proportional to 3,970.64, 5,473.17 and 3,129.98 is: 4,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.64 : 5,473.17 = 3,129.98 : x
  2. Step 2: Convert to fraction form
    3,970.64/5,473.17 = 3,129.98/x
  3. Step 3: Cross multiply
    3,970.64x = 5,473.17 × 3,129.98
  4. Step 4: Simplify right side
    3,970.64x = 17,130,912.64
  5. Step 5: Solve for x
    x = 17,130,912.64/3,970.64
  6. Step 6: Final answer
    x = 4,314.40

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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.