Home / 1,606.49-2,216.10-977.21

Finding the Fourth Proportional to 1,606.49, 2,216.10 and 977.21

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Solution

The fourth proportional to 1,606.49, 2,216.10 and 977.21 is: 1,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.49 : 2,216.10 = 977.21 : x
  2. Step 2: Convert to fraction form
    1,606.49/2,216.10 = 977.21/x
  3. Step 3: Cross multiply
    1,606.49x = 2,216.10 × 977.21
  4. Step 4: Simplify right side
    1,606.49x = 2,165,590.48
  5. Step 5: Solve for x
    x = 2,165,590.48/1,606.49
  6. Step 6: Final answer
    x = 1,348.03

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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.