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Finding the Fourth Proportional to 3,678.67, 5,518.05 and 1,457.65

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Solution

The fourth proportional to 3,678.67, 5,518.05 and 1,457.65 is: 2,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.67 : 5,518.05 = 1,457.65 : x
  2. Step 2: Convert to fraction form
    3,678.67/5,518.05 = 1,457.65/x
  3. Step 3: Cross multiply
    3,678.67x = 5,518.05 × 1,457.65
  4. Step 4: Simplify right side
    3,678.67x = 8,043,385.58
  5. Step 5: Solve for x
    x = 8,043,385.58/3,678.67
  6. Step 6: Final answer
    x = 2,186.49

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1.5x scale

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.