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Finding the Fourth Proportional to 2,985.54, 4,118.80 and 2,039.80

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Solution

The fourth proportional to 2,985.54, 4,118.80 and 2,039.80 is: 2,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.54 : 4,118.80 = 2,039.80 : x
  2. Step 2: Convert to fraction form
    2,985.54/4,118.80 = 2,039.80/x
  3. Step 3: Cross multiply
    2,985.54x = 4,118.80 × 2,039.80
  4. Step 4: Simplify right side
    2,985.54x = 8,401,528.24
  5. Step 5: Solve for x
    x = 8,401,528.24/2,985.54
  6. Step 6: Final answer
    x = 2,814.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.