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Finding the Fourth Proportional to 1,583.80, 2,375.70 and 1,341.40

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Solution

The fourth proportional to 1,583.80, 2,375.70 and 1,341.40 is: 2,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.80 : 2,375.70 = 1,341.40 : x
  2. Step 2: Convert to fraction form
    1,583.80/2,375.70 = 1,341.40/x
  3. Step 3: Cross multiply
    1,583.80x = 2,375.70 × 1,341.40
  4. Step 4: Simplify right side
    1,583.80x = 3,186,763.98
  5. Step 5: Solve for x
    x = 3,186,763.98/1,583.80
  6. Step 6: Final answer
    x = 2,012.10

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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.