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Finding the Fourth Proportional to 26,605.80, 39,914.10 and 12,565.80

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Solution

The fourth proportional to 26,605.80, 39,914.10 and 12,565.80 is: 18,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,605.80 : 39,914.10 = 12,565.80 : x
  2. Step 2: Convert to fraction form
    26,605.80/39,914.10 = 12,565.80/x
  3. Step 3: Cross multiply
    26,605.80x = 39,914.10 × 12,565.80
  4. Step 4: Simplify right side
    26,605.80x = 501,552,597.78
  5. Step 5: Solve for x
    x = 501,552,597.78/26,605.80
  6. Step 6: Final answer
    x = 18,851.25

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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.