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Finding the Fourth Proportional to 16,785.86, 25,178.38 and 6,918.30

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Solution

The fourth proportional to 16,785.86, 25,178.38 and 6,918.30 is: 10,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785.86 : 25,178.38 = 6,918.30 : x
  2. Step 2: Convert to fraction form
    16,785.86/25,178.38 = 6,918.30/x
  3. Step 3: Cross multiply
    16,785.86x = 25,178.38 × 6,918.30
  4. Step 4: Simplify right side
    16,785.86x = 174,191,569.06
  5. Step 5: Solve for x
    x = 174,191,569.06/16,785.86
  6. Step 6: Final answer
    x = 10,377.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.