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Finding the Fourth Proportional to 5,675.74, 8,515.14 and 1,978.18

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Solution

The fourth proportional to 5,675.74, 8,515.14 and 1,978.18 is: 2,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.74 : 8,515.14 = 1,978.18 : x
  2. Step 2: Convert to fraction form
    5,675.74/8,515.14 = 1,978.18/x
  3. Step 3: Cross multiply
    5,675.74x = 8,515.14 × 1,978.18
  4. Step 4: Simplify right side
    5,675.74x = 16,844,479.65
  5. Step 5: Solve for x
    x = 16,844,479.65/5,675.74
  6. Step 6: Final answer
    x = 2,967.80

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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.