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Finding the Fourth Proportional to 12,698.90, 17,524.86 and 7,109.90

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Solution

The fourth proportional to 12,698.90, 17,524.86 and 7,109.90 is: 9,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.90 : 17,524.86 = 7,109.90 : x
  2. Step 2: Convert to fraction form
    12,698.90/17,524.86 = 7,109.90/x
  3. Step 3: Cross multiply
    12,698.90x = 17,524.86 × 7,109.90
  4. Step 4: Simplify right side
    12,698.90x = 124,600,002.11
  5. Step 5: Solve for x
    x = 124,600,002.11/12,698.90
  6. Step 6: Final answer
    x = 9,811.87

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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.