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Finding the Fourth Proportional to 1,587.37, 2,191.37 and 998.23

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Solution

The fourth proportional to 1,587.37, 2,191.37 and 998.23 is: 1,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.37 : 2,191.37 = 998.23 : x
  2. Step 2: Convert to fraction form
    1,587.37/2,191.37 = 998.23/x
  3. Step 3: Cross multiply
    1,587.37x = 2,191.37 × 998.23
  4. Step 4: Simplify right side
    1,587.37x = 2,187,486.28
  5. Step 5: Solve for x
    x = 2,187,486.28/1,587.37
  6. Step 6: Final answer
    x = 1,378.06

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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.