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Finding the Fourth Proportional to 12,812.96, 17,680.60 and 9,457.60

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Solution

The fourth proportional to 12,812.96, 17,680.60 and 9,457.60 is: 13,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.96 : 17,680.60 = 9,457.60 : x
  2. Step 2: Convert to fraction form
    12,812.96/17,680.60 = 9,457.60/x
  3. Step 3: Cross multiply
    12,812.96x = 17,680.60 × 9,457.60
  4. Step 4: Simplify right side
    12,812.96x = 167,216,042.56
  5. Step 5: Solve for x
    x = 167,216,042.56/12,812.96
  6. Step 6: Final answer
    x = 13,050.54

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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.