Home / 1,646.81-2,272.28-983.42

Finding the Fourth Proportional to 1,646.81, 2,272.28 and 983.42

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Solution

The fourth proportional to 1,646.81, 2,272.28 and 983.42 is: 1,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.81 : 2,272.28 = 983.42 : x
  2. Step 2: Convert to fraction form
    1,646.81/2,272.28 = 983.42/x
  3. Step 3: Cross multiply
    1,646.81x = 2,272.28 × 983.42
  4. Step 4: Simplify right side
    1,646.81x = 2,234,589.32
  5. Step 5: Solve for x
    x = 2,234,589.32/1,646.81
  6. Step 6: Final answer
    x = 1,356.92

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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.