Home / 1,534.54-2,117.30-905.02

Finding the Fourth Proportional to 1,534.54, 2,117.30 and 905.02

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Solution

The fourth proportional to 1,534.54, 2,117.30 and 905.02 is: 1,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.54 : 2,117.30 = 905.02 : x
  2. Step 2: Convert to fraction form
    1,534.54/2,117.30 = 905.02/x
  3. Step 3: Cross multiply
    1,534.54x = 2,117.30 × 905.02
  4. Step 4: Simplify right side
    1,534.54x = 1,916,183.73
  5. Step 5: Solve for x
    x = 1,916,183.73/1,534.54
  6. Step 6: Final answer
    x = 1,248.70

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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.