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Finding the Fourth Proportional to 1,810.81, 2,716.64 and 561.34

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Solution

The fourth proportional to 1,810.81, 2,716.64 and 561.34 is: 842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.81 : 2,716.64 = 561.34 : x
  2. Step 2: Convert to fraction form
    1,810.81/2,716.64 = 561.34/x
  3. Step 3: Cross multiply
    1,810.81x = 2,716.64 × 561.34
  4. Step 4: Simplify right side
    1,810.81x = 1,524,951.20
  5. Step 5: Solve for x
    x = 1,524,951.20/1,810.81
  6. Step 6: Final answer
    x = 842.14

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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.