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Finding the Fourth Proportional to 12,506.78, 17,258.71 and 6,840.42

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Solution

The fourth proportional to 12,506.78, 17,258.71 and 6,840.42 is: 9,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.78 : 17,258.71 = 6,840.42 : x
  2. Step 2: Convert to fraction form
    12,506.78/17,258.71 = 6,840.42/x
  3. Step 3: Cross multiply
    12,506.78x = 17,258.71 × 6,840.42
  4. Step 4: Simplify right side
    12,506.78x = 118,056,920.92
  5. Step 5: Solve for x
    x = 118,056,920.92/12,506.78
  6. Step 6: Final answer
    x = 9,439.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.