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Finding the Fourth Proportional to 7,778.84, 11,685.54 and 6,742.04

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Solution

The fourth proportional to 7,778.84, 11,685.54 and 6,742.04 is: 10,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.84 : 11,685.54 = 6,742.04 : x
  2. Step 2: Convert to fraction form
    7,778.84/11,685.54 = 6,742.04/x
  3. Step 3: Cross multiply
    7,778.84x = 11,685.54 × 6,742.04
  4. Step 4: Simplify right side
    7,778.84x = 78,784,378.10
  5. Step 5: Solve for x
    x = 78,784,378.10/7,778.84
  6. Step 6: Final answer
    x = 10,128.04

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1.5x scale

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.