Home / 1,646.14-2,271.84-983.36

Finding the Fourth Proportional to 1,646.14, 2,271.84 and 983.36

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Solution

The fourth proportional to 1,646.14, 2,271.84 and 983.36 is: 1,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.14 : 2,271.84 = 983.36 : x
  2. Step 2: Convert to fraction form
    1,646.14/2,271.84 = 983.36/x
  3. Step 3: Cross multiply
    1,646.14x = 2,271.84 × 983.36
  4. Step 4: Simplify right side
    1,646.14x = 2,234,036.58
  5. Step 5: Solve for x
    x = 2,234,036.58/1,646.14
  6. Step 6: Final answer
    x = 1,357.14

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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.