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Finding the Fourth Proportional to 5,328.86, 7,992.66 and 1,432.96

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Solution

The fourth proportional to 5,328.86, 7,992.66 and 1,432.96 is: 2,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.86 : 7,992.66 = 1,432.96 : x
  2. Step 2: Convert to fraction form
    5,328.86/7,992.66 = 1,432.96/x
  3. Step 3: Cross multiply
    5,328.86x = 7,992.66 × 1,432.96
  4. Step 4: Simplify right side
    5,328.86x = 11,453,162.07
  5. Step 5: Solve for x
    x = 11,453,162.07/5,328.86
  6. Step 6: Final answer
    x = 2,149.27

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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.