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Finding the Fourth Proportional to 2,873.60, 4,310.40 and 1,412.45

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Solution

The fourth proportional to 2,873.60, 4,310.40 and 1,412.45 is: 2,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.60 : 4,310.40 = 1,412.45 : x
  2. Step 2: Convert to fraction form
    2,873.60/4,310.40 = 1,412.45/x
  3. Step 3: Cross multiply
    2,873.60x = 4,310.40 × 1,412.45
  4. Step 4: Simplify right side
    2,873.60x = 6,088,224.48
  5. Step 5: Solve for x
    x = 6,088,224.48/2,873.60
  6. Step 6: Final answer
    x = 2,118.68

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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.