Home / 1,552.24-2,142.12-853.64

Finding the Fourth Proportional to 1,552.24, 2,142.12 and 853.64

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Solution

The fourth proportional to 1,552.24, 2,142.12 and 853.64 is: 1,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.24 : 2,142.12 = 853.64 : x
  2. Step 2: Convert to fraction form
    1,552.24/2,142.12 = 853.64/x
  3. Step 3: Cross multiply
    1,552.24x = 2,142.12 × 853.64
  4. Step 4: Simplify right side
    1,552.24x = 1,828,599.32
  5. Step 5: Solve for x
    x = 1,828,599.32/1,552.24
  6. Step 6: Final answer
    x = 1,178.04

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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.