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Finding the Fourth Proportional to 3,669, 5,502.86 and 1,477.16

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Solution

The fourth proportional to 3,669, 5,502.86 and 1,477.16 is: 2,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,502.86 = 1,477.16 : x
  2. Step 2: Convert to fraction form
    3,669/5,502.86 = 1,477.16/x
  3. Step 3: Cross multiply
    3,669x = 5,502.86 × 1,477.16
  4. Step 4: Simplify right side
    3,669x = 8,128,604.68
  5. Step 5: Solve for x
    x = 8,128,604.68/3,669
  6. Step 6: Final answer
    x = 2,215.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.