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Finding the Fourth Proportional to 30,361.16, 45,562.32 and 10,640

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Solution

The fourth proportional to 30,361.16, 45,562.32 and 10,640 is: 15,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.16 : 45,562.32 = 10,640 : x
  2. Step 2: Convert to fraction form
    30,361.16/45,562.32 = 10,640/x
  3. Step 3: Cross multiply
    30,361.16x = 45,562.32 × 10,640
  4. Step 4: Simplify right side
    30,361.16x = 484,783,084.80
  5. Step 5: Solve for x
    x = 484,783,084.80/30,361.16
  6. Step 6: Final answer
    x = 15,967.21

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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.