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Finding the Fourth Proportional to 30,683.40, 46,022.40 and 8,494.80

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Solution

The fourth proportional to 30,683.40, 46,022.40 and 8,494.80 is: 12,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.40 : 46,022.40 = 8,494.80 : x
  2. Step 2: Convert to fraction form
    30,683.40/46,022.40 = 8,494.80/x
  3. Step 3: Cross multiply
    30,683.40x = 46,022.40 × 8,494.80
  4. Step 4: Simplify right side
    30,683.40x = 390,951,083.52
  5. Step 5: Solve for x
    x = 390,951,083.52/30,683.40
  6. Step 6: Final answer
    x = 12,741.45

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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.