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Finding the Fourth Proportional to 2,978.64, 4,107.88 and 2,130.80

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Solution

The fourth proportional to 2,978.64, 4,107.88 and 2,130.80 is: 2,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.64 : 4,107.88 = 2,130.80 : x
  2. Step 2: Convert to fraction form
    2,978.64/4,107.88 = 2,130.80/x
  3. Step 3: Cross multiply
    2,978.64x = 4,107.88 × 2,130.80
  4. Step 4: Simplify right side
    2,978.64x = 8,753,070.70
  5. Step 5: Solve for x
    x = 8,753,070.70/2,978.64
  6. Step 6: Final answer
    x = 2,938.61

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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.