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Finding the Fourth Proportional to 12,911.70, 17,815.38 and 8,442.02

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Solution

The fourth proportional to 12,911.70, 17,815.38 and 8,442.02 is: 11,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.70 : 17,815.38 = 8,442.02 : x
  2. Step 2: Convert to fraction form
    12,911.70/17,815.38 = 8,442.02/x
  3. Step 3: Cross multiply
    12,911.70x = 17,815.38 × 8,442.02
  4. Step 4: Simplify right side
    12,911.70x = 150,397,705.19
  5. Step 5: Solve for x
    x = 150,397,705.19/12,911.70
  6. Step 6: Final answer
    x = 11,648.17

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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.