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Finding the Fourth Proportional to 12,915.93, 17,819.40 and 8,442.26

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Solution

The fourth proportional to 12,915.93, 17,819.40 and 8,442.26 is: 11,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.93 : 17,819.40 = 8,442.26 : x
  2. Step 2: Convert to fraction form
    12,915.93/17,819.40 = 8,442.26/x
  3. Step 3: Cross multiply
    12,915.93x = 17,819.40 × 8,442.26
  4. Step 4: Simplify right side
    12,915.93x = 150,435,965.63
  5. Step 5: Solve for x
    x = 150,435,965.63/12,915.93
  6. Step 6: Final answer
    x = 11,647.32

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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.