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Finding the Fourth Proportional to 47,208.96, 70,824 and 13,928.64

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Solution

The fourth proportional to 47,208.96, 70,824 and 13,928.64 is: 20,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,208.96 : 70,824 = 13,928.64 : x
  2. Step 2: Convert to fraction form
    47,208.96/70,824 = 13,928.64/x
  3. Step 3: Cross multiply
    47,208.96x = 70,824 × 13,928.64
  4. Step 4: Simplify right side
    47,208.96x = 986,481,999.36
  5. Step 5: Solve for x
    x = 986,481,999.36/47,208.96
  6. Step 6: Final answer
    x = 20,896.08

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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.