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Finding the Fourth Proportional to 1,540.51, 2,125.90 and 841.88

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Solution

The fourth proportional to 1,540.51, 2,125.90 and 841.88 is: 1,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.51 : 2,125.90 = 841.88 : x
  2. Step 2: Convert to fraction form
    1,540.51/2,125.90 = 841.88/x
  3. Step 3: Cross multiply
    1,540.51x = 2,125.90 × 841.88
  4. Step 4: Simplify right side
    1,540.51x = 1,789,755.90
  5. Step 5: Solve for x
    x = 1,789,755.90/1,540.51
  6. Step 6: Final answer
    x = 1,161.80

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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.