Home / 2,357.32-3,536.94-971.80

Finding the Fourth Proportional to 2,357.32, 3,536.94 and 971.80

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Solution

The fourth proportional to 2,357.32, 3,536.94 and 971.80 is: 1,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.32 : 3,536.94 = 971.80 : x
  2. Step 2: Convert to fraction form
    2,357.32/3,536.94 = 971.80/x
  3. Step 3: Cross multiply
    2,357.32x = 3,536.94 × 971.80
  4. Step 4: Simplify right side
    2,357.32x = 3,437,198.29
  5. Step 5: Solve for x
    x = 3,437,198.29/2,357.32
  6. Step 6: Final answer
    x = 1,458.10

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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.