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Finding the Fourth Proportional to 6,128.85, 9,187.41 and 1,966.17

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Solution

The fourth proportional to 6,128.85, 9,187.41 and 1,966.17 is: 2,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.85 : 9,187.41 = 1,966.17 : x
  2. Step 2: Convert to fraction form
    6,128.85/9,187.41 = 1,966.17/x
  3. Step 3: Cross multiply
    6,128.85x = 9,187.41 × 1,966.17
  4. Step 4: Simplify right side
    6,128.85x = 18,064,009.92
  5. Step 5: Solve for x
    x = 18,064,009.92/6,128.85
  6. Step 6: Final answer
    x = 2,947.37

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1.5x scale

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.