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Finding the Fourth Proportional to 3,614.05, 5,421.08 and 1,421.58

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Solution

The fourth proportional to 3,614.05, 5,421.08 and 1,421.58 is: 2,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.05 : 5,421.08 = 1,421.58 : x
  2. Step 2: Convert to fraction form
    3,614.05/5,421.08 = 1,421.58/x
  3. Step 3: Cross multiply
    3,614.05x = 5,421.08 × 1,421.58
  4. Step 4: Simplify right side
    3,614.05x = 7,706,491.80
  5. Step 5: Solve for x
    x = 7,706,491.80/3,614.05
  6. Step 6: Final answer
    x = 2,132.37

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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.