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Finding the Fourth Proportional to 12,684.66, 19,032.34 and 6,834.38

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Solution

The fourth proportional to 12,684.66, 19,032.34 and 6,834.38 is: 10,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.66 : 19,032.34 = 6,834.38 : x
  2. Step 2: Convert to fraction form
    12,684.66/19,032.34 = 6,834.38/x
  3. Step 3: Cross multiply
    12,684.66x = 19,032.34 × 6,834.38
  4. Step 4: Simplify right side
    12,684.66x = 130,074,243.85
  5. Step 5: Solve for x
    x = 130,074,243.85/12,684.66
  6. Step 6: Final answer
    x = 10,254.45

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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.