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Finding the Fourth Proportional to 2,878.13, 4,310.24 and 1,641.78

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Solution

The fourth proportional to 2,878.13, 4,310.24 and 1,641.78 is: 2,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.13 : 4,310.24 = 1,641.78 : x
  2. Step 2: Convert to fraction form
    2,878.13/4,310.24 = 1,641.78/x
  3. Step 3: Cross multiply
    2,878.13x = 4,310.24 × 1,641.78
  4. Step 4: Simplify right side
    2,878.13x = 7,076,457.62
  5. Step 5: Solve for x
    x = 7,076,457.62/2,878.13
  6. Step 6: Final answer
    x = 2,458.70

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1.5x scale

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.