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Finding the Fourth Proportional to 26,915, 40,380.72 and 13,776.68

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Solution

The fourth proportional to 26,915, 40,380.72 and 13,776.68 is: 20,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,915 : 40,380.72 = 13,776.68 : x
  2. Step 2: Convert to fraction form
    26,915/40,380.72 = 13,776.68/x
  3. Step 3: Cross multiply
    26,915x = 40,380.72 × 13,776.68
  4. Step 4: Simplify right side
    26,915x = 556,312,257.61
  5. Step 5: Solve for x
    x = 556,312,257.61/26,915
  6. Step 6: Final answer
    x = 20,669.23

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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.