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Finding the Fourth Proportional to 3,750, 5,624.58 and 1,284.50

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Solution

The fourth proportional to 3,750, 5,624.58 and 1,284.50 is: 1,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750 : 5,624.58 = 1,284.50 : x
  2. Step 2: Convert to fraction form
    3,750/5,624.58 = 1,284.50/x
  3. Step 3: Cross multiply
    3,750x = 5,624.58 × 1,284.50
  4. Step 4: Simplify right side
    3,750x = 7,224,773.01
  5. Step 5: Solve for x
    x = 7,224,773.01/3,750
  6. Step 6: Final answer
    x = 1,926.61

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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.