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Finding the Fourth Proportional to 26,400, 39,568.40 and 18,459.16

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Solution

The fourth proportional to 26,400, 39,568.40 and 18,459.16 is: 27,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400 : 39,568.40 = 18,459.16 : x
  2. Step 2: Convert to fraction form
    26,400/39,568.40 = 18,459.16/x
  3. Step 3: Cross multiply
    26,400x = 39,568.40 × 18,459.16
  4. Step 4: Simplify right side
    26,400x = 730,399,426.54
  5. Step 5: Solve for x
    x = 730,399,426.54/26,400
  6. Step 6: Final answer
    x = 27,666.64

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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.