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Finding the Fourth Proportional to 12,506.76, 17,257.86 and 7,201.80

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Solution

The fourth proportional to 12,506.76, 17,257.86 and 7,201.80 is: 9,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.76 : 17,257.86 = 7,201.80 : x
  2. Step 2: Convert to fraction form
    12,506.76/17,257.86 = 7,201.80/x
  3. Step 3: Cross multiply
    12,506.76x = 17,257.86 × 7,201.80
  4. Step 4: Simplify right side
    12,506.76x = 124,287,656.15
  5. Step 5: Solve for x
    x = 124,287,656.15/12,506.76
  6. Step 6: Final answer
    x = 9,937.64

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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.