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Finding the Fourth Proportional to 15,825.60, 21,839.78 and 8,752.46

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Solution

The fourth proportional to 15,825.60, 21,839.78 and 8,752.46 is: 12,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.60 : 21,839.78 = 8,752.46 : x
  2. Step 2: Convert to fraction form
    15,825.60/21,839.78 = 8,752.46/x
  3. Step 3: Cross multiply
    15,825.60x = 21,839.78 × 8,752.46
  4. Step 4: Simplify right side
    15,825.60x = 191,151,800.86
  5. Step 5: Solve for x
    x = 191,151,800.86/15,825.60
  6. Step 6: Final answer
    x = 12,078.64

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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.