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Finding the Fourth Proportional to 30,903.96, 46,355.94 and 12,423

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Solution

The fourth proportional to 30,903.96, 46,355.94 and 12,423 is: 18,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.96 : 46,355.94 = 12,423 : x
  2. Step 2: Convert to fraction form
    30,903.96/46,355.94 = 12,423/x
  3. Step 3: Cross multiply
    30,903.96x = 46,355.94 × 12,423
  4. Step 4: Simplify right side
    30,903.96x = 575,879,842.62
  5. Step 5: Solve for x
    x = 575,879,842.62/30,903.96
  6. Step 6: Final answer
    x = 18,634.50

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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.