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Finding the Fourth Proportional to 12,700.36, 19,051.74 and 4,909

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Solution

The fourth proportional to 12,700.36, 19,051.74 and 4,909 is: 7,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.36 : 19,051.74 = 4,909 : x
  2. Step 2: Convert to fraction form
    12,700.36/19,051.74 = 4,909/x
  3. Step 3: Cross multiply
    12,700.36x = 19,051.74 × 4,909
  4. Step 4: Simplify right side
    12,700.36x = 93,524,991.66
  5. Step 5: Solve for x
    x = 93,524,991.66/12,700.36
  6. Step 6: Final answer
    x = 7,363.96

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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.