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Finding the Fourth Proportional to 7,155.71, 9,874.97 and 3,969.08

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Solution

The fourth proportional to 7,155.71, 9,874.97 and 3,969.08 is: 5,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.71 : 9,874.97 = 3,969.08 : x
  2. Step 2: Convert to fraction form
    7,155.71/9,874.97 = 3,969.08/x
  3. Step 3: Cross multiply
    7,155.71x = 9,874.97 × 3,969.08
  4. Step 4: Simplify right side
    7,155.71x = 39,194,476.71
  5. Step 5: Solve for x
    x = 39,194,476.71/7,155.71
  6. Step 6: Final answer
    x = 5,477.37

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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.