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Finding the Fourth Proportional to 13,213.92, 19,814.16 and 5,815.20

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Solution

The fourth proportional to 13,213.92, 19,814.16 and 5,815.20 is: 8,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.92 : 19,814.16 = 5,815.20 : x
  2. Step 2: Convert to fraction form
    13,213.92/19,814.16 = 5,815.20/x
  3. Step 3: Cross multiply
    13,213.92x = 19,814.16 × 5,815.20
  4. Step 4: Simplify right side
    13,213.92x = 115,223,303.23
  5. Step 5: Solve for x
    x = 115,223,303.23/13,213.92
  6. Step 6: Final answer
    x = 8,719.84

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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.