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Finding the Fourth Proportional to 12,922.26, 19,358.01 and 7,358.64

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Solution

The fourth proportional to 12,922.26, 19,358.01 and 7,358.64 is: 11,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.26 : 19,358.01 = 7,358.64 : x
  2. Step 2: Convert to fraction form
    12,922.26/19,358.01 = 7,358.64/x
  3. Step 3: Cross multiply
    12,922.26x = 19,358.01 × 7,358.64
  4. Step 4: Simplify right side
    12,922.26x = 142,448,626.71
  5. Step 5: Solve for x
    x = 142,448,626.71/12,922.26
  6. Step 6: Final answer
    x = 11,023.51

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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.