Home / 1,646.48-2,271.68-983.04

Finding the Fourth Proportional to 1,646.48, 2,271.68 and 983.04

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Solution

The fourth proportional to 1,646.48, 2,271.68 and 983.04 is: 1,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.48 : 2,271.68 = 983.04 : x
  2. Step 2: Convert to fraction form
    1,646.48/2,271.68 = 983.04/x
  3. Step 3: Cross multiply
    1,646.48x = 2,271.68 × 983.04
  4. Step 4: Simplify right side
    1,646.48x = 2,233,152.31
  5. Step 5: Solve for x
    x = 2,233,152.31/1,646.48
  6. Step 6: Final answer
    x = 1,356.32

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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.