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Finding the Fourth Proportional to 18,842.50, 26,003.46 and 10,459

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Solution

The fourth proportional to 18,842.50, 26,003.46 and 10,459 is: 14,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842.50 : 26,003.46 = 10,459 : x
  2. Step 2: Convert to fraction form
    18,842.50/26,003.46 = 10,459/x
  3. Step 3: Cross multiply
    18,842.50x = 26,003.46 × 10,459
  4. Step 4: Simplify right side
    18,842.50x = 271,970,188.14
  5. Step 5: Solve for x
    x = 271,970,188.14/18,842.50
  6. Step 6: Final answer
    x = 14,433.87

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1.5x scale

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.