Home / 1,108.31-1,653.12-1,031.76

Finding the Fourth Proportional to 1,108.31, 1,653.12 and 1,031.76

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Solution

The fourth proportional to 1,108.31, 1,653.12 and 1,031.76 is: 1,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.31 : 1,653.12 = 1,031.76 : x
  2. Step 2: Convert to fraction form
    1,108.31/1,653.12 = 1,031.76/x
  3. Step 3: Cross multiply
    1,108.31x = 1,653.12 × 1,031.76
  4. Step 4: Simplify right side
    1,108.31x = 1,705,623.09
  5. Step 5: Solve for x
    x = 1,705,623.09/1,108.31
  6. Step 6: Final answer
    x = 1,538.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.