Home / 1,431.23-2,145.80-967.86

Finding the Fourth Proportional to 1,431.23, 2,145.80 and 967.86

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Solution

The fourth proportional to 1,431.23, 2,145.80 and 967.86 is: 1,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.23 : 2,145.80 = 967.86 : x
  2. Step 2: Convert to fraction form
    1,431.23/2,145.80 = 967.86/x
  3. Step 3: Cross multiply
    1,431.23x = 2,145.80 × 967.86
  4. Step 4: Simplify right side
    1,431.23x = 2,076,833.99
  5. Step 5: Solve for x
    x = 2,076,833.99/1,431.23
  6. Step 6: Final answer
    x = 1,451.08

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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.