Home / 1,577.26-2,176.38-914.02

Finding the Fourth Proportional to 1,577.26, 2,176.38 and 914.02

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Solution

The fourth proportional to 1,577.26, 2,176.38 and 914.02 is: 1,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.26 : 2,176.38 = 914.02 : x
  2. Step 2: Convert to fraction form
    1,577.26/2,176.38 = 914.02/x
  3. Step 3: Cross multiply
    1,577.26x = 2,176.38 × 914.02
  4. Step 4: Simplify right side
    1,577.26x = 1,989,254.85
  5. Step 5: Solve for x
    x = 1,989,254.85/1,577.26
  6. Step 6: Final answer
    x = 1,261.21

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1.5x scale

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.