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Finding the Fourth Proportional to 5,624.88, 8,435.64 and 1,729.20

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Solution

The fourth proportional to 5,624.88, 8,435.64 and 1,729.20 is: 2,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.88 : 8,435.64 = 1,729.20 : x
  2. Step 2: Convert to fraction form
    5,624.88/8,435.64 = 1,729.20/x
  3. Step 3: Cross multiply
    5,624.88x = 8,435.64 × 1,729.20
  4. Step 4: Simplify right side
    5,624.88x = 14,586,908.69
  5. Step 5: Solve for x
    x = 14,586,908.69/5,624.88
  6. Step 6: Final answer
    x = 2,593.28

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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.