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Finding the Fourth Proportional to 15,744.60, 21,721.68 and 9,027.84

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Solution

The fourth proportional to 15,744.60, 21,721.68 and 9,027.84 is: 12,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.60 : 21,721.68 = 9,027.84 : x
  2. Step 2: Convert to fraction form
    15,744.60/21,721.68 = 9,027.84/x
  3. Step 3: Cross multiply
    15,744.60x = 21,721.68 × 9,027.84
  4. Step 4: Simplify right side
    15,744.60x = 196,099,851.57
  5. Step 5: Solve for x
    x = 196,099,851.57/15,744.60
  6. Step 6: Final answer
    x = 12,455.05

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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.