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Finding the Fourth Proportional to 2,335.60, 3,506.10 and 1,412.20

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Solution

The fourth proportional to 2,335.60, 3,506.10 and 1,412.20 is: 2,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.60 : 3,506.10 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    2,335.60/3,506.10 = 1,412.20/x
  3. Step 3: Cross multiply
    2,335.60x = 3,506.10 × 1,412.20
  4. Step 4: Simplify right side
    2,335.60x = 4,951,314.42
  5. Step 5: Solve for x
    x = 4,951,314.42/2,335.60
  6. Step 6: Final answer
    x = 2,119.93

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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.