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Finding the Fourth Proportional to 7,776.69, 11,616.93 and 6,995.45

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Solution

The fourth proportional to 7,776.69, 11,616.93 and 6,995.45 is: 10,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.69 : 11,616.93 = 6,995.45 : x
  2. Step 2: Convert to fraction form
    7,776.69/11,616.93 = 6,995.45/x
  3. Step 3: Cross multiply
    7,776.69x = 11,616.93 × 6,995.45
  4. Step 4: Simplify right side
    7,776.69x = 81,265,594.88
  5. Step 5: Solve for x
    x = 81,265,594.88/7,776.69
  6. Step 6: Final answer
    x = 10,449.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.