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Finding the Fourth Proportional to 23,520, 32,428.80 and 18,468.48

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Solution

The fourth proportional to 23,520, 32,428.80 and 18,468.48 is: 25,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520 : 32,428.80 = 18,468.48 : x
  2. Step 2: Convert to fraction form
    23,520/32,428.80 = 18,468.48/x
  3. Step 3: Cross multiply
    23,520x = 32,428.80 × 18,468.48
  4. Step 4: Simplify right side
    23,520x = 598,910,644.22
  5. Step 5: Solve for x
    x = 598,910,644.22/23,520
  6. Step 6: Final answer
    x = 25,463.89

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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.