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Finding the Fourth Proportional to 30,820.96, 46,231.44 and 12,340

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Solution

The fourth proportional to 30,820.96, 46,231.44 and 12,340 is: 18,510

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.96 : 46,231.44 = 12,340 : x
  2. Step 2: Convert to fraction form
    30,820.96/46,231.44 = 12,340/x
  3. Step 3: Cross multiply
    30,820.96x = 46,231.44 × 12,340
  4. Step 4: Simplify right side
    30,820.96x = 570,495,969.60
  5. Step 5: Solve for x
    x = 570,495,969.60/30,820.96
  6. Step 6: Final answer
    x = 18,510

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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.