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Finding the Fourth Proportional to 20,980.56, 31,395.36 and 15,420

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Solution

The fourth proportional to 20,980.56, 31,395.36 and 15,420 is: 23,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.56 : 31,395.36 = 15,420 : x
  2. Step 2: Convert to fraction form
    20,980.56/31,395.36 = 15,420/x
  3. Step 3: Cross multiply
    20,980.56x = 31,395.36 × 15,420
  4. Step 4: Simplify right side
    20,980.56x = 484,116,451.20
  5. Step 5: Solve for x
    x = 484,116,451.20/20,980.56
  6. Step 6: Final answer
    x = 23,074.52

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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.