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Finding the Fourth Proportional to 21,846.64, 32,769.94 and 5,430.64

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Solution

The fourth proportional to 21,846.64, 32,769.94 and 5,430.64 is: 8,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.64 : 32,769.94 = 5,430.64 : x
  2. Step 2: Convert to fraction form
    21,846.64/32,769.94 = 5,430.64/x
  3. Step 3: Cross multiply
    21,846.64x = 32,769.94 × 5,430.64
  4. Step 4: Simplify right side
    21,846.64x = 177,961,746.96
  5. Step 5: Solve for x
    x = 177,961,746.96/21,846.64
  6. Step 6: Final answer
    x = 8,145.96

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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.