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Finding the Fourth Proportional to 30,906.93, 46,362.69 and 8,421.48

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Solution

The fourth proportional to 30,906.93, 46,362.69 and 8,421.48 is: 12,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.93 : 46,362.69 = 8,421.48 : x
  2. Step 2: Convert to fraction form
    30,906.93/46,362.69 = 8,421.48/x
  3. Step 3: Cross multiply
    30,906.93x = 46,362.69 × 8,421.48
  4. Step 4: Simplify right side
    30,906.93x = 390,442,466.58
  5. Step 5: Solve for x
    x = 390,442,466.58/30,906.93
  6. Step 6: Final answer
    x = 12,632.85

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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.