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Finding the Fourth Proportional to 6,511.97, 9,783.99 and 4,172.99

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Solution

The fourth proportional to 6,511.97, 9,783.99 and 4,172.99 is: 6,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.97 : 9,783.99 = 4,172.99 : x
  2. Step 2: Convert to fraction form
    6,511.97/9,783.99 = 4,172.99/x
  3. Step 3: Cross multiply
    6,511.97x = 9,783.99 × 4,172.99
  4. Step 4: Simplify right side
    6,511.97x = 40,828,443.51
  5. Step 5: Solve for x
    x = 40,828,443.51/6,511.97
  6. Step 6: Final answer
    x = 6,269.76

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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.