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Finding the Fourth Proportional to 2,704.21, 4,056.32 and 652.21

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Solution

The fourth proportional to 2,704.21, 4,056.32 and 652.21 is: 978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.21 : 4,056.32 = 652.21 : x
  2. Step 2: Convert to fraction form
    2,704.21/4,056.32 = 652.21/x
  3. Step 3: Cross multiply
    2,704.21x = 4,056.32 × 652.21
  4. Step 4: Simplify right side
    2,704.21x = 2,645,572.47
  5. Step 5: Solve for x
    x = 2,645,572.47/2,704.21
  6. Step 6: Final answer
    x = 978.32

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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.