Home / 1,523.80-2,281.06-976.37

Finding the Fourth Proportional to 1,523.80, 2,281.06 and 976.37

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Solution

The fourth proportional to 1,523.80, 2,281.06 and 976.37 is: 1,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.80 : 2,281.06 = 976.37 : x
  2. Step 2: Convert to fraction form
    1,523.80/2,281.06 = 976.37/x
  3. Step 3: Cross multiply
    1,523.80x = 2,281.06 × 976.37
  4. Step 4: Simplify right side
    1,523.80x = 2,227,142.27
  5. Step 5: Solve for x
    x = 2,227,142.27/1,523.80
  6. Step 6: Final answer
    x = 1,461.58

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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.