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Finding the Fourth Proportional to 3,415.80, 4,723.02 and 2,978.40

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Solution

The fourth proportional to 3,415.80, 4,723.02 and 2,978.40 is: 4,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.80 : 4,723.02 = 2,978.40 : x
  2. Step 2: Convert to fraction form
    3,415.80/4,723.02 = 2,978.40/x
  3. Step 3: Cross multiply
    3,415.80x = 4,723.02 × 2,978.40
  4. Step 4: Simplify right side
    3,415.80x = 14,067,042.77
  5. Step 5: Solve for x
    x = 14,067,042.77/3,415.80
  6. Step 6: Final answer
    x = 4,118.23

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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.