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Finding the Fourth Proportional to 2,978.28, 4,107.51 and 2,814.12

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Solution

The fourth proportional to 2,978.28, 4,107.51 and 2,814.12 is: 3,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.28 : 4,107.51 = 2,814.12 : x
  2. Step 2: Convert to fraction form
    2,978.28/4,107.51 = 2,814.12/x
  3. Step 3: Cross multiply
    2,978.28x = 4,107.51 × 2,814.12
  4. Step 4: Simplify right side
    2,978.28x = 11,559,026.04
  5. Step 5: Solve for x
    x = 11,559,026.04/2,978.28
  6. Step 6: Final answer
    x = 3,881.11

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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.