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Finding the Fourth Proportional to 1,851.19, 2,776.17 and 618.23

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Solution

The fourth proportional to 1,851.19, 2,776.17 and 618.23 is: 927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.19 : 2,776.17 = 618.23 : x
  2. Step 2: Convert to fraction form
    1,851.19/2,776.17 = 618.23/x
  3. Step 3: Cross multiply
    1,851.19x = 2,776.17 × 618.23
  4. Step 4: Simplify right side
    1,851.19x = 1,716,311.58
  5. Step 5: Solve for x
    x = 1,716,311.58/1,851.19
  6. Step 6: Final answer
    x = 927.14

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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.