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Finding the Fourth Proportional to 1,566.63, 2,161.98 and 903.37

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Solution

The fourth proportional to 1,566.63, 2,161.98 and 903.37 is: 1,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.63 : 2,161.98 = 903.37 : x
  2. Step 2: Convert to fraction form
    1,566.63/2,161.98 = 903.37/x
  3. Step 3: Cross multiply
    1,566.63x = 2,161.98 × 903.37
  4. Step 4: Simplify right side
    1,566.63x = 1,953,067.87
  5. Step 5: Solve for x
    x = 1,953,067.87/1,566.63
  6. Step 6: Final answer
    x = 1,246.67

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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.