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Finding the Fourth Proportional to 3,624, 4,986 and 3,230.16

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Solution

The fourth proportional to 3,624, 4,986 and 3,230.16 is: 4,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624 : 4,986 = 3,230.16 : x
  2. Step 2: Convert to fraction form
    3,624/4,986 = 3,230.16/x
  3. Step 3: Cross multiply
    3,624x = 4,986 × 3,230.16
  4. Step 4: Simplify right side
    3,624x = 16,105,577.76
  5. Step 5: Solve for x
    x = 16,105,577.76/3,624
  6. Step 6: Final answer
    x = 4,444.14

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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.