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Finding the Fourth Proportional to 3,673.02, 5,509.50 and 899.71

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Solution

The fourth proportional to 3,673.02, 5,509.50 and 899.71 is: 1,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.02 : 5,509.50 = 899.71 : x
  2. Step 2: Convert to fraction form
    3,673.02/5,509.50 = 899.71/x
  3. Step 3: Cross multiply
    3,673.02x = 5,509.50 × 899.71
  4. Step 4: Simplify right side
    3,673.02x = 4,956,952.25
  5. Step 5: Solve for x
    x = 4,956,952.25/3,673.02
  6. Step 6: Final answer
    x = 1,349.56

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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.