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Finding the Fourth Proportional to 12,674.81, 19,002.50 and 7,746.77

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Solution

The fourth proportional to 12,674.81, 19,002.50 and 7,746.77 is: 11,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.81 : 19,002.50 = 7,746.77 : x
  2. Step 2: Convert to fraction form
    12,674.81/19,002.50 = 7,746.77/x
  3. Step 3: Cross multiply
    12,674.81x = 19,002.50 × 7,746.77
  4. Step 4: Simplify right side
    12,674.81x = 147,207,958.19
  5. Step 5: Solve for x
    x = 147,207,958.19/12,674.81
  6. Step 6: Final answer
    x = 11,614.21

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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.