Home / 1,031.11-1,420.46-967.93

Finding the Fourth Proportional to 1,031.11, 1,420.46 and 967.93

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Solution

The fourth proportional to 1,031.11, 1,420.46 and 967.93 is: 1,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.11 : 1,420.46 = 967.93 : x
  2. Step 2: Convert to fraction form
    1,031.11/1,420.46 = 967.93/x
  3. Step 3: Cross multiply
    1,031.11x = 1,420.46 × 967.93
  4. Step 4: Simplify right side
    1,031.11x = 1,374,905.85
  5. Step 5: Solve for x
    x = 1,374,905.85/1,031.11
  6. Step 6: Final answer
    x = 1,333.42

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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.