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Finding the Fourth Proportional to 7,988.60, 11,980.74 and 3,056.78

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Solution

The fourth proportional to 7,988.60, 11,980.74 and 3,056.78 is: 4,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.60 : 11,980.74 = 3,056.78 : x
  2. Step 2: Convert to fraction form
    7,988.60/11,980.74 = 3,056.78/x
  3. Step 3: Cross multiply
    7,988.60x = 11,980.74 × 3,056.78
  4. Step 4: Simplify right side
    7,988.60x = 36,622,486.42
  5. Step 5: Solve for x
    x = 36,622,486.42/7,988.60
  6. Step 6: Final answer
    x = 4,584.34

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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.