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Finding the Fourth Proportional to 4,242, 6,361.76 and 1,280.32

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Solution

The fourth proportional to 4,242, 6,361.76 and 1,280.32 is: 1,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 6,361.76 = 1,280.32 : x
  2. Step 2: Convert to fraction form
    4,242/6,361.76 = 1,280.32/x
  3. Step 3: Cross multiply
    4,242x = 6,361.76 × 1,280.32
  4. Step 4: Simplify right side
    4,242x = 8,145,088.56
  5. Step 5: Solve for x
    x = 8,145,088.56/4,242
  6. Step 6: Final answer
    x = 1,920.11

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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.