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Finding the Fourth Proportional to 6,646.71, 9,172.14 and 3,813.54

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Solution

The fourth proportional to 6,646.71, 9,172.14 and 3,813.54 is: 5,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.71 : 9,172.14 = 3,813.54 : x
  2. Step 2: Convert to fraction form
    6,646.71/9,172.14 = 3,813.54/x
  3. Step 3: Cross multiply
    6,646.71x = 9,172.14 × 3,813.54
  4. Step 4: Simplify right side
    6,646.71x = 34,978,322.78
  5. Step 5: Solve for x
    x = 34,978,322.78/6,646.71
  6. Step 6: Final answer
    x = 5,262.50

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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.