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Finding the Fourth Proportional to 12,798.36, 19,200.78 and 5,404.68

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Solution

The fourth proportional to 12,798.36, 19,200.78 and 5,404.68 is: 8,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.36 : 19,200.78 = 5,404.68 : x
  2. Step 2: Convert to fraction form
    12,798.36/19,200.78 = 5,404.68/x
  3. Step 3: Cross multiply
    12,798.36x = 19,200.78 × 5,404.68
  4. Step 4: Simplify right side
    12,798.36x = 103,774,071.65
  5. Step 5: Solve for x
    x = 103,774,071.65/12,798.36
  6. Step 6: Final answer
    x = 8,108.39

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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.