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Finding the Fourth Proportional to 10,857.60, 16,288.20 and 4,620.60

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Solution

The fourth proportional to 10,857.60, 16,288.20 and 4,620.60 is: 6,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.60 : 16,288.20 = 4,620.60 : x
  2. Step 2: Convert to fraction form
    10,857.60/16,288.20 = 4,620.60/x
  3. Step 3: Cross multiply
    10,857.60x = 16,288.20 × 4,620.60
  4. Step 4: Simplify right side
    10,857.60x = 75,261,256.92
  5. Step 5: Solve for x
    x = 75,261,256.92/10,857.60
  6. Step 6: Final answer
    x = 6,931.67

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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.