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Finding the Fourth Proportional to 20,840.64, 28,760.04 and 11,409.20

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Solution

The fourth proportional to 20,840.64, 28,760.04 and 11,409.20 is: 15,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.64 : 28,760.04 = 11,409.20 : x
  2. Step 2: Convert to fraction form
    20,840.64/28,760.04 = 11,409.20/x
  3. Step 3: Cross multiply
    20,840.64x = 28,760.04 × 11,409.20
  4. Step 4: Simplify right side
    20,840.64x = 328,129,048.37
  5. Step 5: Solve for x
    x = 328,129,048.37/20,840.64
  6. Step 6: Final answer
    x = 15,744.67

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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.