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Finding the Fourth Proportional to 26,263, 39,350.64 and 18,457.84

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Solution

The fourth proportional to 26,263, 39,350.64 and 18,457.84 is: 27,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,263 : 39,350.64 = 18,457.84 : x
  2. Step 2: Convert to fraction form
    26,263/39,350.64 = 18,457.84/x
  3. Step 3: Cross multiply
    26,263x = 39,350.64 × 18,457.84
  4. Step 4: Simplify right side
    26,263x = 726,327,817.02
  5. Step 5: Solve for x
    x = 726,327,817.02/26,263
  6. Step 6: Final answer
    x = 27,655.93

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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.