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Finding the Fourth Proportional to 15,814, 23,720.28 and 4,126.96

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Solution

The fourth proportional to 15,814, 23,720.28 and 4,126.96 is: 6,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814 : 23,720.28 = 4,126.96 : x
  2. Step 2: Convert to fraction form
    15,814/23,720.28 = 4,126.96/x
  3. Step 3: Cross multiply
    15,814x = 23,720.28 × 4,126.96
  4. Step 4: Simplify right side
    15,814x = 97,892,646.75
  5. Step 5: Solve for x
    x = 97,892,646.75/15,814
  6. Step 6: Final answer
    x = 6,190.25

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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.