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Finding the Fourth Proportional to 14,134.50, 19,506.22 and 7,846.88

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Solution

The fourth proportional to 14,134.50, 19,506.22 and 7,846.88 is: 10,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.50 : 19,506.22 = 7,846.88 : x
  2. Step 2: Convert to fraction form
    14,134.50/19,506.22 = 7,846.88/x
  3. Step 3: Cross multiply
    14,134.50x = 19,506.22 × 7,846.88
  4. Step 4: Simplify right side
    14,134.50x = 153,062,850.45
  5. Step 5: Solve for x
    x = 153,062,850.45/14,134.50
  6. Step 6: Final answer
    x = 10,829.02

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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.