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Finding the Fourth Proportional to 11,465.81, 15,822.43 and 6,430.31

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Solution

The fourth proportional to 11,465.81, 15,822.43 and 6,430.31 is: 8,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.81 : 15,822.43 = 6,430.31 : x
  2. Step 2: Convert to fraction form
    11,465.81/15,822.43 = 6,430.31/x
  3. Step 3: Cross multiply
    11,465.81x = 15,822.43 × 6,430.31
  4. Step 4: Simplify right side
    11,465.81x = 101,743,129.85
  5. Step 5: Solve for x
    x = 101,743,129.85/11,465.81
  6. Step 6: Final answer
    x = 8,873.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.