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Finding the Fourth Proportional to 2,976.71, 4,459.10 and 1,418.22

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Solution

The fourth proportional to 2,976.71, 4,459.10 and 1,418.22 is: 2,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.71 : 4,459.10 = 1,418.22 : x
  2. Step 2: Convert to fraction form
    2,976.71/4,459.10 = 1,418.22/x
  3. Step 3: Cross multiply
    2,976.71x = 4,459.10 × 1,418.22
  4. Step 4: Simplify right side
    2,976.71x = 6,323,977.71
  5. Step 5: Solve for x
    x = 6,323,977.71/2,976.71
  6. Step 6: Final answer
    x = 2,124.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.