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Finding the Fourth Proportional to 2,031.05, 2,803.04 and 1,234.19

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Solution

The fourth proportional to 2,031.05, 2,803.04 and 1,234.19 is: 1,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.05 : 2,803.04 = 1,234.19 : x
  2. Step 2: Convert to fraction form
    2,031.05/2,803.04 = 1,234.19/x
  3. Step 3: Cross multiply
    2,031.05x = 2,803.04 × 1,234.19
  4. Step 4: Simplify right side
    2,031.05x = 3,459,463.75
  5. Step 5: Solve for x
    x = 3,459,463.75/2,031.05
  6. Step 6: Final answer
    x = 1,703.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.