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Finding the Fourth Proportional to 7,978.05, 11,967.53 and 2,431.58

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Solution

The fourth proportional to 7,978.05, 11,967.53 and 2,431.58 is: 3,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.05 : 11,967.53 = 2,431.58 : x
  2. Step 2: Convert to fraction form
    7,978.05/11,967.53 = 2,431.58/x
  3. Step 3: Cross multiply
    7,978.05x = 11,967.53 × 2,431.58
  4. Step 4: Simplify right side
    7,978.05x = 29,099,934.60
  5. Step 5: Solve for x
    x = 29,099,934.60/7,978.05
  6. Step 6: Final answer
    x = 3,647.50

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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.