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Finding the Fourth Proportional to 7,000.42, 10,478.78 and 5,234.98

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Solution

The fourth proportional to 7,000.42, 10,478.78 and 5,234.98 is: 7,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.42 : 10,478.78 = 5,234.98 : x
  2. Step 2: Convert to fraction form
    7,000.42/10,478.78 = 5,234.98/x
  3. Step 3: Cross multiply
    7,000.42x = 10,478.78 × 5,234.98
  4. Step 4: Simplify right side
    7,000.42x = 54,856,203.72
  5. Step 5: Solve for x
    x = 54,856,203.72/7,000.42
  6. Step 6: Final answer
    x = 7,836.13

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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.