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Finding the Fourth Proportional to 7,776.58, 10,806.23 and 7,696.66

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Solution

The fourth proportional to 7,776.58, 10,806.23 and 7,696.66 is: 10,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.58 : 10,806.23 = 7,696.66 : x
  2. Step 2: Convert to fraction form
    7,776.58/10,806.23 = 7,696.66/x
  3. Step 3: Cross multiply
    7,776.58x = 10,806.23 × 7,696.66
  4. Step 4: Simplify right side
    7,776.58x = 83,171,878.19
  5. Step 5: Solve for x
    x = 83,171,878.19/7,776.58
  6. Step 6: Final answer
    x = 10,695.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.