Home / 2,947.08-4,422.84-1,409.16

Finding the Fourth Proportional to 2,947.08, 4,422.84 and 1,409.16

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Solution

The fourth proportional to 2,947.08, 4,422.84 and 1,409.16 is: 2,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.08 : 4,422.84 = 1,409.16 : x
  2. Step 2: Convert to fraction form
    2,947.08/4,422.84 = 1,409.16/x
  3. Step 3: Cross multiply
    2,947.08x = 4,422.84 × 1,409.16
  4. Step 4: Simplify right side
    2,947.08x = 6,232,489.21
  5. Step 5: Solve for x
    x = 6,232,489.21/2,947.08
  6. Step 6: Final answer
    x = 2,114.80

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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.