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Finding the Fourth Proportional to 15,745.60, 23,623.80 and 6,986.80

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Solution

The fourth proportional to 15,745.60, 23,623.80 and 6,986.80 is: 10,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.60 : 23,623.80 = 6,986.80 : x
  2. Step 2: Convert to fraction form
    15,745.60/23,623.80 = 6,986.80/x
  3. Step 3: Cross multiply
    15,745.60x = 23,623.80 × 6,986.80
  4. Step 4: Simplify right side
    15,745.60x = 165,054,765.84
  5. Step 5: Solve for x
    x = 165,054,765.84/15,745.60
  6. Step 6: Final answer
    x = 10,482.60

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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.