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Finding the Fourth Proportional to 2,992.50, 4,485 and 1,602.39

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Solution

The fourth proportional to 2,992.50, 4,485 and 1,602.39 is: 2,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.50 : 4,485 = 1,602.39 : x
  2. Step 2: Convert to fraction form
    2,992.50/4,485 = 1,602.39/x
  3. Step 3: Cross multiply
    2,992.50x = 4,485 × 1,602.39
  4. Step 4: Simplify right side
    2,992.50x = 7,186,719.15
  5. Step 5: Solve for x
    x = 7,186,719.15/2,992.50
  6. Step 6: Final answer
    x = 2,401.58

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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.