Home / 1,311.18-1,967.46-871.35

Finding the Fourth Proportional to 1,311.18, 1,967.46 and 871.35

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Solution

The fourth proportional to 1,311.18, 1,967.46 and 871.35 is: 1,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.18 : 1,967.46 = 871.35 : x
  2. Step 2: Convert to fraction form
    1,311.18/1,967.46 = 871.35/x
  3. Step 3: Cross multiply
    1,311.18x = 1,967.46 × 871.35
  4. Step 4: Simplify right side
    1,311.18x = 1,714,346.27
  5. Step 5: Solve for x
    x = 1,714,346.27/1,311.18
  6. Step 6: Final answer
    x = 1,307.48

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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.