Home / 1,534.72-2,117.91-905.25

Finding the Fourth Proportional to 1,534.72, 2,117.91 and 905.25

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Solution

The fourth proportional to 1,534.72, 2,117.91 and 905.25 is: 1,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.72 : 2,117.91 = 905.25 : x
  2. Step 2: Convert to fraction form
    1,534.72/2,117.91 = 905.25/x
  3. Step 3: Cross multiply
    1,534.72x = 2,117.91 × 905.25
  4. Step 4: Simplify right side
    1,534.72x = 1,917,235.77
  5. Step 5: Solve for x
    x = 1,917,235.77/1,534.72
  6. Step 6: Final answer
    x = 1,249.24

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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.