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Finding the Fourth Proportional to 1,361.34, 1,876.10 and 967.68

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Solution

The fourth proportional to 1,361.34, 1,876.10 and 967.68 is: 1,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.34 : 1,876.10 = 967.68 : x
  2. Step 2: Convert to fraction form
    1,361.34/1,876.10 = 967.68/x
  3. Step 3: Cross multiply
    1,361.34x = 1,876.10 × 967.68
  4. Step 4: Simplify right side
    1,361.34x = 1,815,459.61
  5. Step 5: Solve for x
    x = 1,815,459.61/1,361.34
  6. Step 6: Final answer
    x = 1,333.58

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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.