Home / 1,647.14-2,272.53-983.84

Finding the Fourth Proportional to 1,647.14, 2,272.53 and 983.84

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Solution

The fourth proportional to 1,647.14, 2,272.53 and 983.84 is: 1,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.14 : 2,272.53 = 983.84 : x
  2. Step 2: Convert to fraction form
    1,647.14/2,272.53 = 983.84/x
  3. Step 3: Cross multiply
    1,647.14x = 2,272.53 × 983.84
  4. Step 4: Simplify right side
    1,647.14x = 2,235,794.55
  5. Step 5: Solve for x
    x = 2,235,794.55/1,647.14
  6. Step 6: Final answer
    x = 1,357.38

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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.