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Finding the Fourth Proportional to 7,764.78, 11,690.94 and 6,846.24

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Solution

The fourth proportional to 7,764.78, 11,690.94 and 6,846.24 is: 10,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.78 : 11,690.94 = 6,846.24 : x
  2. Step 2: Convert to fraction form
    7,764.78/11,690.94 = 6,846.24/x
  3. Step 3: Cross multiply
    7,764.78x = 11,690.94 × 6,846.24
  4. Step 4: Simplify right side
    7,764.78x = 80,038,981.07
  5. Step 5: Solve for x
    x = 80,038,981.07/7,764.78
  6. Step 6: Final answer
    x = 10,307.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.