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Finding the Fourth Proportional to 9,770.82, 13,472.64 and 6,939.06

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Solution

The fourth proportional to 9,770.82, 13,472.64 and 6,939.06 is: 9,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.82 : 13,472.64 = 6,939.06 : x
  2. Step 2: Convert to fraction form
    9,770.82/13,472.64 = 6,939.06/x
  3. Step 3: Cross multiply
    9,770.82x = 13,472.64 × 6,939.06
  4. Step 4: Simplify right side
    9,770.82x = 93,487,457.32
  5. Step 5: Solve for x
    x = 93,487,457.32/9,770.82
  6. Step 6: Final answer
    x = 9,568.03

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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.