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Finding the Fourth Proportional to 18,953.64, 28,430.18 and 5,805.96

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Solution

The fourth proportional to 18,953.64, 28,430.18 and 5,805.96 is: 8,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,953.64 : 28,430.18 = 5,805.96 : x
  2. Step 2: Convert to fraction form
    18,953.64/28,430.18 = 5,805.96/x
  3. Step 3: Cross multiply
    18,953.64x = 28,430.18 × 5,805.96
  4. Step 4: Simplify right side
    18,953.64x = 165,064,487.87
  5. Step 5: Solve for x
    x = 165,064,487.87/18,953.64
  6. Step 6: Final answer
    x = 8,708.85

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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.