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Finding the Fourth Proportional to 3,047.90, 4,206.38 and 1,914.40

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Solution

The fourth proportional to 3,047.90, 4,206.38 and 1,914.40 is: 2,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.90 : 4,206.38 = 1,914.40 : x
  2. Step 2: Convert to fraction form
    3,047.90/4,206.38 = 1,914.40/x
  3. Step 3: Cross multiply
    3,047.90x = 4,206.38 × 1,914.40
  4. Step 4: Simplify right side
    3,047.90x = 8,052,677.63
  5. Step 5: Solve for x
    x = 8,052,677.63/3,047.90
  6. Step 6: Final answer
    x = 2,642.04

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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.