Home / 7,776.40-11,660.32-5,314

Finding the Fourth Proportional to 7,776.40, 11,660.32 and 5,314

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Solution

The fourth proportional to 7,776.40, 11,660.32 and 5,314 is: 7,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.40 : 11,660.32 = 5,314 : x
  2. Step 2: Convert to fraction form
    7,776.40/11,660.32 = 5,314/x
  3. Step 3: Cross multiply
    7,776.40x = 11,660.32 × 5,314
  4. Step 4: Simplify right side
    7,776.40x = 61,962,940.48
  5. Step 5: Solve for x
    x = 61,962,940.48/7,776.40
  6. Step 6: Final answer
    x = 7,968.08

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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.