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Finding the Fourth Proportional to 7,730.22, 10,674.84 and 7,315.91

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Solution

The fourth proportional to 7,730.22, 10,674.84 and 7,315.91 is: 10,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.22 : 10,674.84 = 7,315.91 : x
  2. Step 2: Convert to fraction form
    7,730.22/10,674.84 = 7,315.91/x
  3. Step 3: Cross multiply
    7,730.22x = 10,674.84 × 7,315.91
  4. Step 4: Simplify right side
    7,730.22x = 78,096,115.33
  5. Step 5: Solve for x
    x = 78,096,115.33/7,730.22
  6. Step 6: Final answer
    x = 10,102.70

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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.