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Finding the Fourth Proportional to 30,997.40, 46,497.90 and 8,812.40

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Solution

The fourth proportional to 30,997.40, 46,497.90 and 8,812.40 is: 13,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.40 : 46,497.90 = 8,812.40 : x
  2. Step 2: Convert to fraction form
    30,997.40/46,497.90 = 8,812.40/x
  3. Step 3: Cross multiply
    30,997.40x = 46,497.90 × 8,812.40
  4. Step 4: Simplify right side
    30,997.40x = 409,758,093.96
  5. Step 5: Solve for x
    x = 409,758,093.96/30,997.40
  6. Step 6: Final answer
    x = 13,219.11

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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.