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Finding the Fourth Proportional to 12,683.40, 19,046.70 and 6,851.40

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Solution

The fourth proportional to 12,683.40, 19,046.70 and 6,851.40 is: 10,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.40 : 19,046.70 = 6,851.40 : x
  2. Step 2: Convert to fraction form
    12,683.40/19,046.70 = 6,851.40/x
  3. Step 3: Cross multiply
    12,683.40x = 19,046.70 × 6,851.40
  4. Step 4: Simplify right side
    12,683.40x = 130,496,560.38
  5. Step 5: Solve for x
    x = 130,496,560.38/12,683.40
  6. Step 6: Final answer
    x = 10,288.77

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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.