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Finding the Fourth Proportional to 2,978.90, 4,470.50 and 2,095.59

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Solution

The fourth proportional to 2,978.90, 4,470.50 and 2,095.59 is: 3,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.90 : 4,470.50 = 2,095.59 : x
  2. Step 2: Convert to fraction form
    2,978.90/4,470.50 = 2,095.59/x
  3. Step 3: Cross multiply
    2,978.90x = 4,470.50 × 2,095.59
  4. Step 4: Simplify right side
    2,978.90x = 9,368,340.33
  5. Step 5: Solve for x
    x = 9,368,340.33/2,978.90
  6. Step 6: Final answer
    x = 3,144.90

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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.