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Finding the Fourth Proportional to 12,940.94, 19,430.86 and 7,400.54

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Solution

The fourth proportional to 12,940.94, 19,430.86 and 7,400.54 is: 11,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.94 : 19,430.86 = 7,400.54 : x
  2. Step 2: Convert to fraction form
    12,940.94/19,430.86 = 7,400.54/x
  3. Step 3: Cross multiply
    12,940.94x = 19,430.86 × 7,400.54
  4. Step 4: Simplify right side
    12,940.94x = 143,798,856.66
  5. Step 5: Solve for x
    x = 143,798,856.66/12,940.94
  6. Step 6: Final answer
    x = 11,111.93

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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.