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Finding the Fourth Proportional to 1,978.56, 2,953.80 and 1,909.98

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Solution

The fourth proportional to 1,978.56, 2,953.80 and 1,909.98 is: 2,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.56 : 2,953.80 = 1,909.98 : x
  2. Step 2: Convert to fraction form
    1,978.56/2,953.80 = 1,909.98/x
  3. Step 3: Cross multiply
    1,978.56x = 2,953.80 × 1,909.98
  4. Step 4: Simplify right side
    1,978.56x = 5,641,698.92
  5. Step 5: Solve for x
    x = 5,641,698.92/1,978.56
  6. Step 6: Final answer
    x = 2,851.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.