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Finding the Fourth Proportional to 7,099.78, 9,797.70 and 3,955.96

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Solution

The fourth proportional to 7,099.78, 9,797.70 and 3,955.96 is: 5,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.78 : 9,797.70 = 3,955.96 : x
  2. Step 2: Convert to fraction form
    7,099.78/9,797.70 = 3,955.96/x
  3. Step 3: Cross multiply
    7,099.78x = 9,797.70 × 3,955.96
  4. Step 4: Simplify right side
    7,099.78x = 38,759,309.29
  5. Step 5: Solve for x
    x = 38,759,309.29/7,099.78
  6. Step 6: Final answer
    x = 5,459.23

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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.