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Finding the Fourth Proportional to 12,813.18, 17,683.86 and 7,512.54

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Solution

The fourth proportional to 12,813.18, 17,683.86 and 7,512.54 is: 10,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.18 : 17,683.86 = 7,512.54 : x
  2. Step 2: Convert to fraction form
    12,813.18/17,683.86 = 7,512.54/x
  3. Step 3: Cross multiply
    12,813.18x = 17,683.86 × 7,512.54
  4. Step 4: Simplify right side
    12,813.18x = 132,850,705.60
  5. Step 5: Solve for x
    x = 132,850,705.60/12,813.18
  6. Step 6: Final answer
    x = 10,368.29

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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.