Home / 1,516.86-2,275.29-1,406.14

Finding the Fourth Proportional to 1,516.86, 2,275.29 and 1,406.14

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Solution

The fourth proportional to 1,516.86, 2,275.29 and 1,406.14 is: 2,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.86 : 2,275.29 = 1,406.14 : x
  2. Step 2: Convert to fraction form
    1,516.86/2,275.29 = 1,406.14/x
  3. Step 3: Cross multiply
    1,516.86x = 2,275.29 × 1,406.14
  4. Step 4: Simplify right side
    1,516.86x = 3,199,370.59
  5. Step 5: Solve for x
    x = 3,199,370.59/1,516.86
  6. Step 6: Final answer
    x = 2,109.21

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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.