Home / 1,282.24-1,913-1,143.73

Finding the Fourth Proportional to 1,282.24, 1,913 and 1,143.73

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Solution

The fourth proportional to 1,282.24, 1,913 and 1,143.73 is: 1,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.24 : 1,913 = 1,143.73 : x
  2. Step 2: Convert to fraction form
    1,282.24/1,913 = 1,143.73/x
  3. Step 3: Cross multiply
    1,282.24x = 1,913 × 1,143.73
  4. Step 4: Simplify right side
    1,282.24x = 2,187,955.49
  5. Step 5: Solve for x
    x = 2,187,955.49/1,282.24
  6. Step 6: Final answer
    x = 1,706.35

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1.5x scale

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.