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Finding the Fourth Proportional to 12,815.96, 17,684.74 and 9,460.60

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Solution

The fourth proportional to 12,815.96, 17,684.74 and 9,460.60 is: 13,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.96 : 17,684.74 = 9,460.60 : x
  2. Step 2: Convert to fraction form
    12,815.96/17,684.74 = 9,460.60/x
  3. Step 3: Cross multiply
    12,815.96x = 17,684.74 × 9,460.60
  4. Step 4: Simplify right side
    12,815.96x = 167,308,251.24
  5. Step 5: Solve for x
    x = 167,308,251.24/12,815.96
  6. Step 6: Final answer
    x = 13,054.68

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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.