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Finding the Fourth Proportional to 7,206.80, 10,826.40 and 7,012.40

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Solution

The fourth proportional to 7,206.80, 10,826.40 and 7,012.40 is: 10,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.80 : 10,826.40 = 7,012.40 : x
  2. Step 2: Convert to fraction form
    7,206.80/10,826.40 = 7,012.40/x
  3. Step 3: Cross multiply
    7,206.80x = 10,826.40 × 7,012.40
  4. Step 4: Simplify right side
    7,206.80x = 75,919,047.36
  5. Step 5: Solve for x
    x = 75,919,047.36/7,206.80
  6. Step 6: Final answer
    x = 10,534.36

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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.