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Finding the Fourth Proportional to 3,624.68, 5,428.70 and 1,889

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Solution

The fourth proportional to 3,624.68, 5,428.70 and 1,889 is: 2,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.68 : 5,428.70 = 1,889 : x
  2. Step 2: Convert to fraction form
    3,624.68/5,428.70 = 1,889/x
  3. Step 3: Cross multiply
    3,624.68x = 5,428.70 × 1,889
  4. Step 4: Simplify right side
    3,624.68x = 10,254,814.30
  5. Step 5: Solve for x
    x = 10,254,814.30/3,624.68
  6. Step 6: Final answer
    x = 2,829.16

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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.