Home / 1,282.72-1,913.80-1,107.76

Finding the Fourth Proportional to 1,282.72, 1,913.80 and 1,107.76

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Solution

The fourth proportional to 1,282.72, 1,913.80 and 1,107.76 is: 1,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.72 : 1,913.80 = 1,107.76 : x
  2. Step 2: Convert to fraction form
    1,282.72/1,913.80 = 1,107.76/x
  3. Step 3: Cross multiply
    1,282.72x = 1,913.80 × 1,107.76
  4. Step 4: Simplify right side
    1,282.72x = 2,120,031.09
  5. Step 5: Solve for x
    x = 2,120,031.09/1,282.72
  6. Step 6: Final answer
    x = 1,652.76

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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.