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Finding the Fourth Proportional to 12,783.78, 19,182.78 and 5,393.52

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Solution

The fourth proportional to 12,783.78, 19,182.78 and 5,393.52 is: 8,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.78 : 19,182.78 = 5,393.52 : x
  2. Step 2: Convert to fraction form
    12,783.78/19,182.78 = 5,393.52/x
  3. Step 3: Cross multiply
    12,783.78x = 19,182.78 × 5,393.52
  4. Step 4: Simplify right side
    12,783.78x = 103,462,707.59
  5. Step 5: Solve for x
    x = 103,462,707.59/12,783.78
  6. Step 6: Final answer
    x = 8,093.28

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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.