Home / 1,646.71-2,271.18-983.42

Finding the Fourth Proportional to 1,646.71, 2,271.18 and 983.42

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Solution

The fourth proportional to 1,646.71, 2,271.18 and 983.42 is: 1,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.71 : 2,271.18 = 983.42 : x
  2. Step 2: Convert to fraction form
    1,646.71/2,271.18 = 983.42/x
  3. Step 3: Cross multiply
    1,646.71x = 2,271.18 × 983.42
  4. Step 4: Simplify right side
    1,646.71x = 2,233,523.84
  5. Step 5: Solve for x
    x = 2,233,523.84/1,646.71
  6. Step 6: Final answer
    x = 1,356.36

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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.