Home / 7,776.36-11,664.06-3,159.24

Finding the Fourth Proportional to 7,776.36, 11,664.06 and 3,159.24

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Solution

The fourth proportional to 7,776.36, 11,664.06 and 3,159.24 is: 4,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.36 : 11,664.06 = 3,159.24 : x
  2. Step 2: Convert to fraction form
    7,776.36/11,664.06 = 3,159.24/x
  3. Step 3: Cross multiply
    7,776.36x = 11,664.06 × 3,159.24
  4. Step 4: Simplify right side
    7,776.36x = 36,849,564.91
  5. Step 5: Solve for x
    x = 36,849,564.91/7,776.36
  6. Step 6: Final answer
    x = 4,738.66

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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.