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Finding the Fourth Proportional to 5,164.71, 7,731.81 and 3,406.47

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Solution

The fourth proportional to 5,164.71, 7,731.81 and 3,406.47 is: 5,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.71 : 7,731.81 = 3,406.47 : x
  2. Step 2: Convert to fraction form
    5,164.71/7,731.81 = 3,406.47/x
  3. Step 3: Cross multiply
    5,164.71x = 7,731.81 × 3,406.47
  4. Step 4: Simplify right side
    5,164.71x = 26,338,178.81
  5. Step 5: Solve for x
    x = 26,338,178.81/5,164.71
  6. Step 6: Final answer
    x = 5,099.64

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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.