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Finding the Fourth Proportional to 3,636, 5,429.16 and 2,985.12

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Solution

The fourth proportional to 3,636, 5,429.16 and 2,985.12 is: 4,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636 : 5,429.16 = 2,985.12 : x
  2. Step 2: Convert to fraction form
    3,636/5,429.16 = 2,985.12/x
  3. Step 3: Cross multiply
    3,636x = 5,429.16 × 2,985.12
  4. Step 4: Simplify right side
    3,636x = 16,206,694.10
  5. Step 5: Solve for x
    x = 16,206,694.10/3,636
  6. Step 6: Final answer
    x = 4,457.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.