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Finding the Fourth Proportional to 1,818.80, 2,509.94 and 1,188.94

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Solution

The fourth proportional to 1,818.80, 2,509.94 and 1,188.94 is: 1,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.80 : 2,509.94 = 1,188.94 : x
  2. Step 2: Convert to fraction form
    1,818.80/2,509.94 = 1,188.94/x
  3. Step 3: Cross multiply
    1,818.80x = 2,509.94 × 1,188.94
  4. Step 4: Simplify right side
    1,818.80x = 2,984,164.76
  5. Step 5: Solve for x
    x = 2,984,164.76/1,818.80
  6. Step 6: Final answer
    x = 1,640.74

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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.