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Finding the Fourth Proportional to 7,980.40, 11,971.88 and 2,358.64

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Solution

The fourth proportional to 7,980.40, 11,971.88 and 2,358.64 is: 3,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.40 : 11,971.88 = 2,358.64 : x
  2. Step 2: Convert to fraction form
    7,980.40/11,971.88 = 2,358.64/x
  3. Step 3: Cross multiply
    7,980.40x = 11,971.88 × 2,358.64
  4. Step 4: Simplify right side
    7,980.40x = 28,237,355.04
  5. Step 5: Solve for x
    x = 28,237,355.04/7,980.40
  6. Step 6: Final answer
    x = 3,538.34

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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.