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Finding the Fourth Proportional to 12,810.10, 19,222.44 and 10,229.44

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Solution

The fourth proportional to 12,810.10, 19,222.44 and 10,229.44 is: 15,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.10 : 19,222.44 = 10,229.44 : x
  2. Step 2: Convert to fraction form
    12,810.10/19,222.44 = 10,229.44/x
  3. Step 3: Cross multiply
    12,810.10x = 19,222.44 × 10,229.44
  4. Step 4: Simplify right side
    12,810.10x = 196,634,775.03
  5. Step 5: Solve for x
    x = 196,634,775.03/12,810.10
  6. Step 6: Final answer
    x = 15,349.98

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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.