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Finding the Fourth Proportional to 15,419.92, 23,119.56 and 7,928.24

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Solution

The fourth proportional to 15,419.92, 23,119.56 and 7,928.24 is: 11,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419.92 : 23,119.56 = 7,928.24 : x
  2. Step 2: Convert to fraction form
    15,419.92/23,119.56 = 7,928.24/x
  3. Step 3: Cross multiply
    15,419.92x = 23,119.56 × 7,928.24
  4. Step 4: Simplify right side
    15,419.92x = 183,297,420.37
  5. Step 5: Solve for x
    x = 183,297,420.37/15,419.92
  6. Step 6: Final answer
    x = 11,887.05

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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.