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Finding the Fourth Proportional to 6,287.84, 8,678.16 and 3,635.18

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Solution

The fourth proportional to 6,287.84, 8,678.16 and 3,635.18 is: 5,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.84 : 8,678.16 = 3,635.18 : x
  2. Step 2: Convert to fraction form
    6,287.84/8,678.16 = 3,635.18/x
  3. Step 3: Cross multiply
    6,287.84x = 8,678.16 × 3,635.18
  4. Step 4: Simplify right side
    6,287.84x = 31,546,673.67
  5. Step 5: Solve for x
    x = 31,546,673.67/6,287.84
  6. Step 6: Final answer
    x = 5,017.09

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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.