Home / 13,164.24-19,740-6,142.68

Finding the Fourth Proportional to 13,164.24, 19,740 and 6,142.68

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Solution

The fourth proportional to 13,164.24, 19,740 and 6,142.68 is: 9,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.24 : 19,740 = 6,142.68 : x
  2. Step 2: Convert to fraction form
    13,164.24/19,740 = 6,142.68/x
  3. Step 3: Cross multiply
    13,164.24x = 19,740 × 6,142.68
  4. Step 4: Simplify right side
    13,164.24x = 121,256,503.20
  5. Step 5: Solve for x
    x = 121,256,503.20/13,164.24
  6. Step 6: Final answer
    x = 9,211.05

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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.