Home / 5,206.59-7,182.81-3,109.50

Finding the Fourth Proportional to 5,206.59, 7,182.81 and 3,109.50

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Solution

The fourth proportional to 5,206.59, 7,182.81 and 3,109.50 is: 4,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.59 : 7,182.81 = 3,109.50 : x
  2. Step 2: Convert to fraction form
    5,206.59/7,182.81 = 3,109.50/x
  3. Step 3: Cross multiply
    5,206.59x = 7,182.81 × 3,109.50
  4. Step 4: Simplify right side
    5,206.59x = 22,334,947.70
  5. Step 5: Solve for x
    x = 22,334,947.70/5,206.59
  6. Step 6: Final answer
    x = 4,289.75

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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.