Home / 1,577.33-2,176.53-914.04

Finding the Fourth Proportional to 1,577.33, 2,176.53 and 914.04

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Solution

The fourth proportional to 1,577.33, 2,176.53 and 914.04 is: 1,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.33 : 2,176.53 = 914.04 : x
  2. Step 2: Convert to fraction form
    1,577.33/2,176.53 = 914.04/x
  3. Step 3: Cross multiply
    1,577.33x = 2,176.53 × 914.04
  4. Step 4: Simplify right side
    1,577.33x = 1,989,435.48
  5. Step 5: Solve for x
    x = 1,989,435.48/1,577.33
  6. Step 6: Final answer
    x = 1,261.27

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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.