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Finding the Fourth Proportional to 2,978.30, 4,108.23 and 2,347.85

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Solution

The fourth proportional to 2,978.30, 4,108.23 and 2,347.85 is: 3,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.30 : 4,108.23 = 2,347.85 : x
  2. Step 2: Convert to fraction form
    2,978.30/4,108.23 = 2,347.85/x
  3. Step 3: Cross multiply
    2,978.30x = 4,108.23 × 2,347.85
  4. Step 4: Simplify right side
    2,978.30x = 9,645,487.26
  5. Step 5: Solve for x
    x = 9,645,487.26/2,978.30
  6. Step 6: Final answer
    x = 3,238.59

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1.5x scale

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.