Home / 1,516.83-2,272.61-931.70

Finding the Fourth Proportional to 1,516.83, 2,272.61 and 931.70

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Solution

The fourth proportional to 1,516.83, 2,272.61 and 931.70 is: 1,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.83 : 2,272.61 = 931.70 : x
  2. Step 2: Convert to fraction form
    1,516.83/2,272.61 = 931.70/x
  3. Step 3: Cross multiply
    1,516.83x = 2,272.61 × 931.70
  4. Step 4: Simplify right side
    1,516.83x = 2,117,374.72
  5. Step 5: Solve for x
    x = 2,117,374.72/1,516.83
  6. Step 6: Final answer
    x = 1,395.92

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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.