Home / 2,357.09-3,534.28-971.38

Finding the Fourth Proportional to 2,357.09, 3,534.28 and 971.38

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Solution

The fourth proportional to 2,357.09, 3,534.28 and 971.38 is: 1,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.09 : 3,534.28 = 971.38 : x
  2. Step 2: Convert to fraction form
    2,357.09/3,534.28 = 971.38/x
  3. Step 3: Cross multiply
    2,357.09x = 3,534.28 × 971.38
  4. Step 4: Simplify right side
    2,357.09x = 3,433,134.54
  5. Step 5: Solve for x
    x = 3,433,134.54/2,357.09
  6. Step 6: Final answer
    x = 1,456.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.