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Finding the Fourth Proportional to 8,155.40, 11,255.06 and 4,619.14

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Solution

The fourth proportional to 8,155.40, 11,255.06 and 4,619.14 is: 6,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.40 : 11,255.06 = 4,619.14 : x
  2. Step 2: Convert to fraction form
    8,155.40/11,255.06 = 4,619.14/x
  3. Step 3: Cross multiply
    8,155.40x = 11,255.06 × 4,619.14
  4. Step 4: Simplify right side
    8,155.40x = 51,988,697.85
  5. Step 5: Solve for x
    x = 51,988,697.85/8,155.40
  6. Step 6: Final answer
    x = 6,374.76

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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.