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Finding the Fourth Proportional to 2,039.94, 3,060 and 653.39

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Solution

The fourth proportional to 2,039.94, 3,060 and 653.39 is: 980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.94 : 3,060 = 653.39 : x
  2. Step 2: Convert to fraction form
    2,039.94/3,060 = 653.39/x
  3. Step 3: Cross multiply
    2,039.94x = 3,060 × 653.39
  4. Step 4: Simplify right side
    2,039.94x = 1,999,358.10
  5. Step 5: Solve for x
    x = 1,999,358.10/2,039.94
  6. Step 6: Final answer
    x = 980.11

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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.