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Finding the Fourth Proportional to 12,290.63, 16,962.51 and 6,986.24

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Solution

The fourth proportional to 12,290.63, 16,962.51 and 6,986.24 is: 9,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.63 : 16,962.51 = 6,986.24 : x
  2. Step 2: Convert to fraction form
    12,290.63/16,962.51 = 6,986.24/x
  3. Step 3: Cross multiply
    12,290.63x = 16,962.51 × 6,986.24
  4. Step 4: Simplify right side
    12,290.63x = 118,504,081.05
  5. Step 5: Solve for x
    x = 118,504,081.05/12,290.63
  6. Step 6: Final answer
    x = 9,641.83

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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.