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Finding the Fourth Proportional to 6,482, 8,945.48 and 3,687.76

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Solution

The fourth proportional to 6,482, 8,945.48 and 3,687.76 is: 5,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482 : 8,945.48 = 3,687.76 : x
  2. Step 2: Convert to fraction form
    6,482/8,945.48 = 3,687.76/x
  3. Step 3: Cross multiply
    6,482x = 8,945.48 × 3,687.76
  4. Step 4: Simplify right side
    6,482x = 32,988,783.32
  5. Step 5: Solve for x
    x = 32,988,783.32/6,482
  6. Step 6: Final answer
    x = 5,089.29

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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.