Home / 1,596.40-2,202.78-1,006.90

Finding the Fourth Proportional to 1,596.40, 2,202.78 and 1,006.90

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Solution

The fourth proportional to 1,596.40, 2,202.78 and 1,006.90 is: 1,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.40 : 2,202.78 = 1,006.90 : x
  2. Step 2: Convert to fraction form
    1,596.40/2,202.78 = 1,006.90/x
  3. Step 3: Cross multiply
    1,596.40x = 2,202.78 × 1,006.90
  4. Step 4: Simplify right side
    1,596.40x = 2,217,979.18
  5. Step 5: Solve for x
    x = 2,217,979.18/1,596.40
  6. Step 6: Final answer
    x = 1,389.36

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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.