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Finding the Fourth Proportional to 10,671.66, 16,005.30 and 2,878.65

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Solution

The fourth proportional to 10,671.66, 16,005.30 and 2,878.65 is: 4,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.66 : 16,005.30 = 2,878.65 : x
  2. Step 2: Convert to fraction form
    10,671.66/16,005.30 = 2,878.65/x
  3. Step 3: Cross multiply
    10,671.66x = 16,005.30 × 2,878.65
  4. Step 4: Simplify right side
    10,671.66x = 46,073,656.85
  5. Step 5: Solve for x
    x = 46,073,656.85/10,671.66
  6. Step 6: Final answer
    x = 4,317.38

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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.