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Finding the Fourth Proportional to 7,219, 10,828.50 and 1,747

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Solution

The fourth proportional to 7,219, 10,828.50 and 1,747 is: 2,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219 : 10,828.50 = 1,747 : x
  2. Step 2: Convert to fraction form
    7,219/10,828.50 = 1,747/x
  3. Step 3: Cross multiply
    7,219x = 10,828.50 × 1,747
  4. Step 4: Simplify right side
    7,219x = 18,917,389.50
  5. Step 5: Solve for x
    x = 18,917,389.50/7,219
  6. Step 6: Final answer
    x = 2,620.50

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Similar ratio
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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.