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Finding the Fourth Proportional to 7,955.60, 11,928.74 and 2,407.28

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Solution

The fourth proportional to 7,955.60, 11,928.74 and 2,407.28 is: 3,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.60 : 11,928.74 = 2,407.28 : x
  2. Step 2: Convert to fraction form
    7,955.60/11,928.74 = 2,407.28/x
  3. Step 3: Cross multiply
    7,955.60x = 11,928.74 × 2,407.28
  4. Step 4: Simplify right side
    7,955.60x = 28,715,817.23
  5. Step 5: Solve for x
    x = 28,715,817.23/7,955.60
  6. Step 6: Final answer
    x = 3,609.51

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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.