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Finding the Fourth Proportional to 1,798.47, 2,481.94 and 1,012.55

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Solution

The fourth proportional to 1,798.47, 2,481.94 and 1,012.55 is: 1,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.47 : 2,481.94 = 1,012.55 : x
  2. Step 2: Convert to fraction form
    1,798.47/2,481.94 = 1,012.55/x
  3. Step 3: Cross multiply
    1,798.47x = 2,481.94 × 1,012.55
  4. Step 4: Simplify right side
    1,798.47x = 2,513,070.87
  5. Step 5: Solve for x
    x = 2,513,070.87/1,798.47
  6. Step 6: Final answer
    x = 1,397.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.