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Finding the Fourth Proportional to 17,222.32, 25,829.80 and 7,859.68

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Solution

The fourth proportional to 17,222.32, 25,829.80 and 7,859.68 is: 11,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.32 : 25,829.80 = 7,859.68 : x
  2. Step 2: Convert to fraction form
    17,222.32/25,829.80 = 7,859.68/x
  3. Step 3: Cross multiply
    17,222.32x = 25,829.80 × 7,859.68
  4. Step 4: Simplify right side
    17,222.32x = 203,013,962.46
  5. Step 5: Solve for x
    x = 203,013,962.46/17,222.32
  6. Step 6: Final answer
    x = 11,787.84

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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.