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Finding the Fourth Proportional to 15,902.80, 23,825.40 and 12,965.20

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Solution

The fourth proportional to 15,902.80, 23,825.40 and 12,965.20 is: 19,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.80 : 23,825.40 = 12,965.20 : x
  2. Step 2: Convert to fraction form
    15,902.80/23,825.40 = 12,965.20/x
  3. Step 3: Cross multiply
    15,902.80x = 23,825.40 × 12,965.20
  4. Step 4: Simplify right side
    15,902.80x = 308,901,076.08
  5. Step 5: Solve for x
    x = 308,901,076.08/15,902.80
  6. Step 6: Final answer
    x = 19,424.32

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1.5x scale

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.