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Finding the Fourth Proportional to 1,555.40, 2,333.10 and 1,431.20

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Solution

The fourth proportional to 1,555.40, 2,333.10 and 1,431.20 is: 2,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.40 : 2,333.10 = 1,431.20 : x
  2. Step 2: Convert to fraction form
    1,555.40/2,333.10 = 1,431.20/x
  3. Step 3: Cross multiply
    1,555.40x = 2,333.10 × 1,431.20
  4. Step 4: Simplify right side
    1,555.40x = 3,339,132.72
  5. Step 5: Solve for x
    x = 3,339,132.72/1,555.40
  6. Step 6: Final answer
    x = 2,146.80

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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.