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Finding the Fourth Proportional to 2,254.34, 3,381.42 and 715.34

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Solution

The fourth proportional to 2,254.34, 3,381.42 and 715.34 is: 1,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.34 : 3,381.42 = 715.34 : x
  2. Step 2: Convert to fraction form
    2,254.34/3,381.42 = 715.34/x
  3. Step 3: Cross multiply
    2,254.34x = 3,381.42 × 715.34
  4. Step 4: Simplify right side
    2,254.34x = 2,418,864.98
  5. Step 5: Solve for x
    x = 2,418,864.98/2,254.34
  6. Step 6: Final answer
    x = 1,072.98

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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.