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Finding the Fourth Proportional to 5,673.12, 8,509.46 and 2,899.76

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Solution

The fourth proportional to 5,673.12, 8,509.46 and 2,899.76 is: 4,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.12 : 8,509.46 = 2,899.76 : x
  2. Step 2: Convert to fraction form
    5,673.12/8,509.46 = 2,899.76/x
  3. Step 3: Cross multiply
    5,673.12x = 8,509.46 × 2,899.76
  4. Step 4: Simplify right side
    5,673.12x = 24,675,391.73
  5. Step 5: Solve for x
    x = 24,675,391.73/5,673.12
  6. Step 6: Final answer
    x = 4,349.53

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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.