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Finding the Fourth Proportional to 3,970.20, 5,956.10 and 1,196.74

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Solution

The fourth proportional to 3,970.20, 5,956.10 and 1,196.74 is: 1,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.20 : 5,956.10 = 1,196.74 : x
  2. Step 2: Convert to fraction form
    3,970.20/5,956.10 = 1,196.74/x
  3. Step 3: Cross multiply
    3,970.20x = 5,956.10 × 1,196.74
  4. Step 4: Simplify right side
    3,970.20x = 7,127,903.11
  5. Step 5: Solve for x
    x = 7,127,903.11/3,970.20
  6. Step 6: Final answer
    x = 1,795.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.