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Finding the Fourth Proportional to 6,969, 10,456.60 and 2,817.12

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Solution

The fourth proportional to 6,969, 10,456.60 and 2,817.12 is: 4,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969 : 10,456.60 = 2,817.12 : x
  2. Step 2: Convert to fraction form
    6,969/10,456.60 = 2,817.12/x
  3. Step 3: Cross multiply
    6,969x = 10,456.60 × 2,817.12
  4. Step 4: Simplify right side
    6,969x = 29,457,496.99
  5. Step 5: Solve for x
    x = 29,457,496.99/6,969
  6. Step 6: Final answer
    x = 4,226.93

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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.