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Finding the Fourth Proportional to 7,080, 9,770.40 and 3,936.81

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Solution

The fourth proportional to 7,080, 9,770.40 and 3,936.81 is: 5,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 9,770.40 = 3,936.81 : x
  2. Step 2: Convert to fraction form
    7,080/9,770.40 = 3,936.81/x
  3. Step 3: Cross multiply
    7,080x = 9,770.40 × 3,936.81
  4. Step 4: Simplify right side
    7,080x = 38,464,208.42
  5. Step 5: Solve for x
    x = 38,464,208.42/7,080
  6. Step 6: Final answer
    x = 5,432.80

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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.