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Finding the Fourth Proportional to 15,321.94, 22,985.07 and 5,459.11

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Solution

The fourth proportional to 15,321.94, 22,985.07 and 5,459.11 is: 8,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321.94 : 22,985.07 = 5,459.11 : x
  2. Step 2: Convert to fraction form
    15,321.94/22,985.07 = 5,459.11/x
  3. Step 3: Cross multiply
    15,321.94x = 22,985.07 × 5,459.11
  4. Step 4: Simplify right side
    15,321.94x = 125,478,025.49
  5. Step 5: Solve for x
    x = 125,478,025.49/15,321.94
  6. Step 6: Final answer
    x = 8,189.43

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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.