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Finding the Fourth Proportional to 12,489.90, 17,235.74 and 6,824.66

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Solution

The fourth proportional to 12,489.90, 17,235.74 and 6,824.66 is: 9,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.90 : 17,235.74 = 6,824.66 : x
  2. Step 2: Convert to fraction form
    12,489.90/17,235.74 = 6,824.66/x
  3. Step 3: Cross multiply
    12,489.90x = 17,235.74 × 6,824.66
  4. Step 4: Simplify right side
    12,489.90x = 117,628,065.35
  5. Step 5: Solve for x
    x = 117,628,065.35/12,489.90
  6. Step 6: Final answer
    x = 9,417.85

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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.