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Finding the Fourth Proportional to 7,970.40, 11,955.60 and 2,127.60

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Solution

The fourth proportional to 7,970.40, 11,955.60 and 2,127.60 is: 3,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.40 : 11,955.60 = 2,127.60 : x
  2. Step 2: Convert to fraction form
    7,970.40/11,955.60 = 2,127.60/x
  3. Step 3: Cross multiply
    7,970.40x = 11,955.60 × 2,127.60
  4. Step 4: Simplify right side
    7,970.40x = 25,436,734.56
  5. Step 5: Solve for x
    x = 25,436,734.56/7,970.40
  6. Step 6: Final answer
    x = 3,191.40

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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.