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Finding the Fourth Proportional to 15,200.30, 22,768.86 and 7,782.32

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Solution

The fourth proportional to 15,200.30, 22,768.86 and 7,782.32 is: 11,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.30 : 22,768.86 = 7,782.32 : x
  2. Step 2: Convert to fraction form
    15,200.30/22,768.86 = 7,782.32/x
  3. Step 3: Cross multiply
    15,200.30x = 22,768.86 × 7,782.32
  4. Step 4: Simplify right side
    15,200.30x = 177,194,554.56
  5. Step 5: Solve for x
    x = 177,194,554.56/15,200.30
  6. Step 6: Final answer
    x = 11,657.31

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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.