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Finding the Fourth Proportional to 12,698.10, 17,522.82 and 7,392.60

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Solution

The fourth proportional to 12,698.10, 17,522.82 and 7,392.60 is: 10,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.10 : 17,522.82 = 7,392.60 : x
  2. Step 2: Convert to fraction form
    12,698.10/17,522.82 = 7,392.60/x
  3. Step 3: Cross multiply
    12,698.10x = 17,522.82 × 7,392.60
  4. Step 4: Simplify right side
    12,698.10x = 129,539,199.13
  5. Step 5: Solve for x
    x = 129,539,199.13/12,698.10
  6. Step 6: Final answer
    x = 10,201.46

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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.