Home / 7,977.69-11,966.54-2,782.35

Finding the Fourth Proportional to 7,977.69, 11,966.54 and 2,782.35

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Solution

The fourth proportional to 7,977.69, 11,966.54 and 2,782.35 is: 4,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.69 : 11,966.54 = 2,782.35 : x
  2. Step 2: Convert to fraction form
    7,977.69/11,966.54 = 2,782.35/x
  3. Step 3: Cross multiply
    7,977.69x = 11,966.54 × 2,782.35
  4. Step 4: Simplify right side
    7,977.69x = 33,295,088.66
  5. Step 5: Solve for x
    x = 33,295,088.66/7,977.69
  6. Step 6: Final answer
    x = 4,173.53

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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.