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Finding the Fourth Proportional to 1,857.70, 2,784.30 and 1,272.70

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Solution

The fourth proportional to 1,857.70, 2,784.30 and 1,272.70 is: 1,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.70 : 2,784.30 = 1,272.70 : x
  2. Step 2: Convert to fraction form
    1,857.70/2,784.30 = 1,272.70/x
  3. Step 3: Cross multiply
    1,857.70x = 2,784.30 × 1,272.70
  4. Step 4: Simplify right side
    1,857.70x = 3,543,578.61
  5. Step 5: Solve for x
    x = 3,543,578.61/1,857.70
  6. Step 6: Final answer
    x = 1,907.51

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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.