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Finding the Fourth Proportional to 13,919.42, 20,858.74 and 7,978.07

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Solution

The fourth proportional to 13,919.42, 20,858.74 and 7,978.07 is: 11,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.42 : 20,858.74 = 7,978.07 : x
  2. Step 2: Convert to fraction form
    13,919.42/20,858.74 = 7,978.07/x
  3. Step 3: Cross multiply
    13,919.42x = 20,858.74 × 7,978.07
  4. Step 4: Simplify right side
    13,919.42x = 166,412,483.81
  5. Step 5: Solve for x
    x = 166,412,483.81/13,919.42
  6. Step 6: Final answer
    x = 11,955.42

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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.