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Finding the Fourth Proportional to 30,683.69, 45,978.36 and 18,178.84

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Solution

The fourth proportional to 30,683.69, 45,978.36 and 18,178.84 is: 27,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.69 : 45,978.36 = 18,178.84 : x
  2. Step 2: Convert to fraction form
    30,683.69/45,978.36 = 18,178.84/x
  3. Step 3: Cross multiply
    30,683.69x = 45,978.36 × 18,178.84
  4. Step 4: Simplify right side
    30,683.69x = 835,833,249.90
  5. Step 5: Solve for x
    x = 835,833,249.90/30,683.69
  6. Step 6: Final answer
    x = 27,240.31

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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.