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Finding the Fourth Proportional to 6,482.25, 8,945.64 and 3,687.75

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Solution

The fourth proportional to 6,482.25, 8,945.64 and 3,687.75 is: 5,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.25 : 8,945.64 = 3,687.75 : x
  2. Step 2: Convert to fraction form
    6,482.25/8,945.64 = 3,687.75/x
  3. Step 3: Cross multiply
    6,482.25x = 8,945.64 × 3,687.75
  4. Step 4: Simplify right side
    6,482.25x = 32,989,283.91
  5. Step 5: Solve for x
    x = 32,989,283.91/6,482.25
  6. Step 6: Final answer
    x = 5,089.17

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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.