Home / 1,071.36-1,614-1,057.92

Finding the Fourth Proportional to 1,071.36, 1,614 and 1,057.92

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Solution

The fourth proportional to 1,071.36, 1,614 and 1,057.92 is: 1,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.36 : 1,614 = 1,057.92 : x
  2. Step 2: Convert to fraction form
    1,071.36/1,614 = 1,057.92/x
  3. Step 3: Cross multiply
    1,071.36x = 1,614 × 1,057.92
  4. Step 4: Simplify right side
    1,071.36x = 1,707,482.88
  5. Step 5: Solve for x
    x = 1,707,482.88/1,071.36
  6. Step 6: Final answer
    x = 1,593.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.