Home / 1,552.24-2,142.10-844.09

Finding the Fourth Proportional to 1,552.24, 2,142.10 and 844.09

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Solution

The fourth proportional to 1,552.24, 2,142.10 and 844.09 is: 1,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.24 : 2,142.10 = 844.09 : x
  2. Step 2: Convert to fraction form
    1,552.24/2,142.10 = 844.09/x
  3. Step 3: Cross multiply
    1,552.24x = 2,142.10 × 844.09
  4. Step 4: Simplify right side
    1,552.24x = 1,808,125.19
  5. Step 5: Solve for x
    x = 1,808,125.19/1,552.24
  6. Step 6: Final answer
    x = 1,164.85

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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.