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Finding the Fourth Proportional to 7,977, 11,968.02 and 3,594.84

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Solution

The fourth proportional to 7,977, 11,968.02 and 3,594.84 is: 5,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977 : 11,968.02 = 3,594.84 : x
  2. Step 2: Convert to fraction form
    7,977/11,968.02 = 3,594.84/x
  3. Step 3: Cross multiply
    7,977x = 11,968.02 × 3,594.84
  4. Step 4: Simplify right side
    7,977x = 43,023,117.02
  5. Step 5: Solve for x
    x = 43,023,117.02/7,977
  6. Step 6: Final answer
    x = 5,393.40

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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.