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Finding the Fourth Proportional to 3,765, 5,648.58 and 1,457.16

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Solution

The fourth proportional to 3,765, 5,648.58 and 1,457.16 is: 2,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765 : 5,648.58 = 1,457.16 : x
  2. Step 2: Convert to fraction form
    3,765/5,648.58 = 1,457.16/x
  3. Step 3: Cross multiply
    3,765x = 5,648.58 × 1,457.16
  4. Step 4: Simplify right side
    3,765x = 8,230,884.83
  5. Step 5: Solve for x
    x = 8,230,884.83/3,765
  6. Step 6: Final answer
    x = 2,186.16

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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.