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Finding the Fourth Proportional to 20,661.60, 31,024.80 and 11,913.60

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Solution

The fourth proportional to 20,661.60, 31,024.80 and 11,913.60 is: 17,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661.60 : 31,024.80 = 11,913.60 : x
  2. Step 2: Convert to fraction form
    20,661.60/31,024.80 = 11,913.60/x
  3. Step 3: Cross multiply
    20,661.60x = 31,024.80 × 11,913.60
  4. Step 4: Simplify right side
    20,661.60x = 369,617,057.28
  5. Step 5: Solve for x
    x = 369,617,057.28/20,661.60
  6. Step 6: Final answer
    x = 17,889.08

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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.