Home / 1,461.80-2,193.21-913.34

Finding the Fourth Proportional to 1,461.80, 2,193.21 and 913.34

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Solution

The fourth proportional to 1,461.80, 2,193.21 and 913.34 is: 1,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.80 : 2,193.21 = 913.34 : x
  2. Step 2: Convert to fraction form
    1,461.80/2,193.21 = 913.34/x
  3. Step 3: Cross multiply
    1,461.80x = 2,193.21 × 913.34
  4. Step 4: Simplify right side
    1,461.80x = 2,003,135.46
  5. Step 5: Solve for x
    x = 2,003,135.46/1,461.80
  6. Step 6: Final answer
    x = 1,370.33

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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.