Home / 5,412-8,118.40-1,516.26

Finding the Fourth Proportional to 5,412, 8,118.40 and 1,516.26

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Solution

The fourth proportional to 5,412, 8,118.40 and 1,516.26 is: 2,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412 : 8,118.40 = 1,516.26 : x
  2. Step 2: Convert to fraction form
    5,412/8,118.40 = 1,516.26/x
  3. Step 3: Cross multiply
    5,412x = 8,118.40 × 1,516.26
  4. Step 4: Simplify right side
    5,412x = 12,309,605.18
  5. Step 5: Solve for x
    x = 12,309,605.18/5,412
  6. Step 6: Final answer
    x = 2,274.50

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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.