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Finding the Fourth Proportional to 23,400, 32,349.60 and 22,420.80

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Solution

The fourth proportional to 23,400, 32,349.60 and 22,420.80 is: 30,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 32,349.60 = 22,420.80 : x
  2. Step 2: Convert to fraction form
    23,400/32,349.60 = 22,420.80/x
  3. Step 3: Cross multiply
    23,400x = 32,349.60 × 22,420.80
  4. Step 4: Simplify right side
    23,400x = 725,303,911.68
  5. Step 5: Solve for x
    x = 725,303,911.68/23,400
  6. Step 6: Final answer
    x = 30,995.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.