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Finding the Fourth Proportional to 5,599.68, 8,400 and 2,135.04

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Solution

The fourth proportional to 5,599.68, 8,400 and 2,135.04 is: 3,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.68 : 8,400 = 2,135.04 : x
  2. Step 2: Convert to fraction form
    5,599.68/8,400 = 2,135.04/x
  3. Step 3: Cross multiply
    5,599.68x = 8,400 × 2,135.04
  4. Step 4: Simplify right side
    5,599.68x = 17,934,336
  5. Step 5: Solve for x
    x = 17,934,336/5,599.68
  6. Step 6: Final answer
    x = 3,202.74

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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.