Home / 1,577.64-2,174.67-1,203.42

Finding the Fourth Proportional to 1,577.64, 2,174.67 and 1,203.42

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Solution

The fourth proportional to 1,577.64, 2,174.67 and 1,203.42 is: 1,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.64 : 2,174.67 = 1,203.42 : x
  2. Step 2: Convert to fraction form
    1,577.64/2,174.67 = 1,203.42/x
  3. Step 3: Cross multiply
    1,577.64x = 2,174.67 × 1,203.42
  4. Step 4: Simplify right side
    1,577.64x = 2,617,041.37
  5. Step 5: Solve for x
    x = 2,617,041.37/1,577.64
  6. Step 6: Final answer
    x = 1,658.83

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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.