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Finding the Fourth Proportional to 1,837.76, 2,756.28 and 538.88

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Solution

The fourth proportional to 1,837.76, 2,756.28 and 538.88 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.76 : 2,756.28 = 538.88 : x
  2. Step 2: Convert to fraction form
    1,837.76/2,756.28 = 538.88/x
  3. Step 3: Cross multiply
    1,837.76x = 2,756.28 × 538.88
  4. Step 4: Simplify right side
    1,837.76x = 1,485,304.17
  5. Step 5: Solve for x
    x = 1,485,304.17/1,837.76
  6. Step 6: Final answer
    x = 808.21

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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.