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Finding the Fourth Proportional to 3,978.02, 5,967.07 and 1,056.62

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Solution

The fourth proportional to 3,978.02, 5,967.07 and 1,056.62 is: 1,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.02 : 5,967.07 = 1,056.62 : x
  2. Step 2: Convert to fraction form
    3,978.02/5,967.07 = 1,056.62/x
  3. Step 3: Cross multiply
    3,978.02x = 5,967.07 × 1,056.62
  4. Step 4: Simplify right side
    3,978.02x = 6,304,925.50
  5. Step 5: Solve for x
    x = 6,304,925.50/3,978.02
  6. Step 6: Final answer
    x = 1,584.94

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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.