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Finding the Fourth Proportional to 2,658.70, 3,978.60 and 2,315.80

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Solution

The fourth proportional to 2,658.70, 3,978.60 and 2,315.80 is: 3,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.70 : 3,978.60 = 2,315.80 : x
  2. Step 2: Convert to fraction form
    2,658.70/3,978.60 = 2,315.80/x
  3. Step 3: Cross multiply
    2,658.70x = 3,978.60 × 2,315.80
  4. Step 4: Simplify right side
    2,658.70x = 9,213,641.88
  5. Step 5: Solve for x
    x = 9,213,641.88/2,658.70
  6. Step 6: Final answer
    x = 3,465.47

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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.