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Finding the Fourth Proportional to 2,984.07, 4,118.49 and 2,886.95

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Solution

The fourth proportional to 2,984.07, 4,118.49 and 2,886.95 is: 3,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.07 : 4,118.49 = 2,886.95 : x
  2. Step 2: Convert to fraction form
    2,984.07/4,118.49 = 2,886.95/x
  3. Step 3: Cross multiply
    2,984.07x = 4,118.49 × 2,886.95
  4. Step 4: Simplify right side
    2,984.07x = 11,889,854.11
  5. Step 5: Solve for x
    x = 11,889,854.11/2,984.07
  6. Step 6: Final answer
    x = 3,984.44

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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.