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Finding the Fourth Proportional to 7,706.69, 10,625.55 and 6,288.94

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Solution

The fourth proportional to 7,706.69, 10,625.55 and 6,288.94 is: 8,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.69 : 10,625.55 = 6,288.94 : x
  2. Step 2: Convert to fraction form
    7,706.69/10,625.55 = 6,288.94/x
  3. Step 3: Cross multiply
    7,706.69x = 10,625.55 × 6,288.94
  4. Step 4: Simplify right side
    7,706.69x = 66,823,446.42
  5. Step 5: Solve for x
    x = 66,823,446.42/7,706.69
  6. Step 6: Final answer
    x = 8,670.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.