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Finding the Fourth Proportional to 15,768.96, 21,762.24 and 9,144.96

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Solution

The fourth proportional to 15,768.96, 21,762.24 and 9,144.96 is: 12,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.96 : 21,762.24 = 9,144.96 : x
  2. Step 2: Convert to fraction form
    15,768.96/21,762.24 = 9,144.96/x
  3. Step 3: Cross multiply
    15,768.96x = 21,762.24 × 9,144.96
  4. Step 4: Simplify right side
    15,768.96x = 199,014,814.31
  5. Step 5: Solve for x
    x = 199,014,814.31/15,768.96
  6. Step 6: Final answer
    x = 12,620.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.