Home / 1,563.80-2,158.04-865.20

Finding the Fourth Proportional to 1,563.80, 2,158.04 and 865.20

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Solution

The fourth proportional to 1,563.80, 2,158.04 and 865.20 is: 1,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.80 : 2,158.04 = 865.20 : x
  2. Step 2: Convert to fraction form
    1,563.80/2,158.04 = 865.20/x
  3. Step 3: Cross multiply
    1,563.80x = 2,158.04 × 865.20
  4. Step 4: Simplify right side
    1,563.80x = 1,867,136.21
  5. Step 5: Solve for x
    x = 1,867,136.21/1,563.80
  6. Step 6: Final answer
    x = 1,193.97

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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.