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Finding the Fourth Proportional to 4,221.72, 6,331.84 and 1,143

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Solution

The fourth proportional to 4,221.72, 6,331.84 and 1,143 is: 1,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.72 : 6,331.84 = 1,143 : x
  2. Step 2: Convert to fraction form
    4,221.72/6,331.84 = 1,143/x
  3. Step 3: Cross multiply
    4,221.72x = 6,331.84 × 1,143
  4. Step 4: Simplify right side
    4,221.72x = 7,237,293.12
  5. Step 5: Solve for x
    x = 7,237,293.12/4,221.72
  6. Step 6: Final answer
    x = 1,714.30

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1.5x scale

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.