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Finding the Fourth Proportional to 5,775, 8,662.68 and 1,614.96

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Solution

The fourth proportional to 5,775, 8,662.68 and 1,614.96 is: 2,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775 : 8,662.68 = 1,614.96 : x
  2. Step 2: Convert to fraction form
    5,775/8,662.68 = 1,614.96/x
  3. Step 3: Cross multiply
    5,775x = 8,662.68 × 1,614.96
  4. Step 4: Simplify right side
    5,775x = 13,989,881.69
  5. Step 5: Solve for x
    x = 13,989,881.69/5,775
  6. Step 6: Final answer
    x = 2,422.49

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Half scale
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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.