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Finding the Fourth Proportional to 9,199.98, 12,698.76 and 5,422.88

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Solution

The fourth proportional to 9,199.98, 12,698.76 and 5,422.88 is: 7,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.98 : 12,698.76 = 5,422.88 : x
  2. Step 2: Convert to fraction form
    9,199.98/12,698.76 = 5,422.88/x
  3. Step 3: Cross multiply
    9,199.98x = 12,698.76 × 5,422.88
  4. Step 4: Simplify right side
    9,199.98x = 68,863,851.63
  5. Step 5: Solve for x
    x = 68,863,851.63/9,199.98
  6. Step 6: Final answer
    x = 7,485.22

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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.