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Finding the Fourth Proportional to 6,969.78, 10,457.10 and 6,234.84

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Solution

The fourth proportional to 6,969.78, 10,457.10 and 6,234.84 is: 9,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.78 : 10,457.10 = 6,234.84 : x
  2. Step 2: Convert to fraction form
    6,969.78/10,457.10 = 6,234.84/x
  3. Step 3: Cross multiply
    6,969.78x = 10,457.10 × 6,234.84
  4. Step 4: Simplify right side
    6,969.78x = 65,198,345.36
  5. Step 5: Solve for x
    x = 65,198,345.36/6,969.78
  6. Step 6: Final answer
    x = 9,354.43

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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.